{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sklearn.datasets import load_iris\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.manifold import MDS\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "import pandas as pd\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "raw_data = load_iris()\n",
    "dataset = raw_data.data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "d_scaler = MinMaxScaler()\n",
    "dataset_scaled = d_scaler.fit_transform(dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "mds_output = MDS(3,random_state=5)\n",
    "data_3d = mds_output.fit_transform(dataset_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "mds_colors = ['purple','blue', 'yellow']\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in np.unique(raw_data.target):\n",
    "  d_subset = data_3d[raw_data.target == i]\n",
    "  \n",
    "  x = [row[0] for row in d_subset]\n",
    "  y = [row[1] for row in d_subset]\n",
    "  plt.scatter(x,y,c=mds_colors[i],label=raw_data.target_names[i])\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dummy_cities = {'A':[0,40,50,30,40],\n",
    "          'B':[40,0,40,50,20],\n",
    "          'C':[50,40,0,20,50],\n",
    "          'D':[30,50,20,0,20],\n",
    "          'E':[40,20,50,20,0],\n",
    "          }"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "cities_dataframe = pd.DataFrame(data_dummy_cities, index =['A','B','C','D','E'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>B</th>\n",
       "      <th>C</th>\n",
       "      <th>D</th>\n",
       "      <th>E</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>A</th>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>50</td>\n",
       "      <td>30</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>B</th>\n",
       "      <td>40</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>50</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>C</th>\n",
       "      <td>50</td>\n",
       "      <td>40</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>D</th>\n",
       "      <td>30</td>\n",
       "      <td>50</td>\n",
       "      <td>20</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>E</th>\n",
       "      <td>40</td>\n",
       "      <td>20</td>\n",
       "      <td>50</td>\n",
       "      <td>20</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    A   B   C   D   E\n",
       "A   0  40  50  30  40\n",
       "B  40   0  40  50  20\n",
       "C  50  40   0  20  50\n",
       "D  30  50  20   0  20\n",
       "E  40  20  50  20   0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cities_dataframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "scaler = MinMaxScaler()\n",
    "df_scaled = scaler.fit_transform(cities_dataframe)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "MDS_stress = []\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IKCcIRkXE7wBFxHMR8QXgL9Mtq7ZJ4qh8zkFgZkNCOUGwRVID8JSkCyX9FTA25bpqXiGf48nl69iwZXu1SzEze1XKCYJPAaMpPrP4dcAHgA+nWVQ9aMvn6AqYu8Q9kZpZfSun99HOiFgPrAfOTrmeurGjwXjxao4/YGJ1izEzexXKOSL4D0kLJP2rpNeWu2JJ10laIemxPqafIGmNpNnJ6+Kyq64BE8YMZ8bE0b6xzMzq3oBBEBEnUrxaqAP4jqR5kj5fxrp/AJw8wDz3RUQheV1axjprSiGfY9bzq4no8wZsM7OaV1Y31BHxYkRcCZwHzAYG/PUeEfcCK19VdTWukM+xYt0WXlizudqlmJntsXJuKHuNpC9Imgf8J/BHYPogbf94SXMk/VZSn088k3SupHZJ7R0dHYO06Vev0DoBwJeRmlldK+eI4DpgFfDOiDghIr4dESsGYduPAvtGxFEUA+aXfc0YEddExMyImNnS0jIImx4cr5kyjuGNDQ4CM6tr5XRDfXwaG46ItSXDt0r6lqRJEfFSGttLw4hhjRw2dby7mjCzurbbj6ocLJImS1IyfExSy8vVqmdPFfI55i1dw/bOrmqXYma2R1ILAkk3AQ8Ah0haIukcSedJOi+Z5XTgMUlzgCuBM6IOL79pa82xaVsnC5evq3YpZmZ7pJwbynZIupoYW3papy8RceYA068Crtqd7dei0hvLDp/aXN1izMz2QDlXDf2XpPGSxgCPAY9L+of0S6sPrXuNZq8xw91OYGZ1q5xTQ4clRwCnAb8F9gM+mGZR9UQSR01v9pVDZla3ygmCJklNFIPglojYRj/PMs6ittYJLOpYz7rN26pdipnZbisnCL4DPAuMAe6VtC8wYBtBlhTyOcI9kZpZnSqnr6ErI2JaRJwaRc9R7HvIEkeVNBibmdWbchqLP5U0FkvStZIeBd5agdrqRvOoJvZvGcOs590TqZnVn3JODf1t0lj8DmACxYbiL6daVR0qJI+urMNbIcws48oJAiV/TwVujIj5JeMs0ZbP8dL6rSxZtanapZiZ7ZZyguARSXdQDILbJY0D3J9CD4W8eyI1s/pUThCcA3wWeH1EbASG40dWvsKhU8YxYph7IjWz+lNOEARwGMWH10PxMtKRqVVUp5oaG3jtNN9YZmb1p5wg+BZwPNDdd9A64JupVVTHCvkcjy1dwzb3RGpmdaScIDg2Ii4ANgNExCqKp4esh0I+x5btXTzxgnsiNbP6UU4QbJPUSNKthKQW3Fjcq509kfp+AjOrH+UEwZXAzcDeki4D7ge+mGpVdWr6hFFMGjuCWW4nMLM60u/zCJLnDzwD/CPwNor3D5wWEQsqUFvdkbTjxjIzs3rRbxBERJekb0ZEG/BEhWqqa22tOf7fguWs2biN5tFN1S7HzGxA5Zwa+p2k93Y/X9j6t6OdYMnqqtZhZlaucoLgY8B/A1skrZW0TpK7oe7DkdObkfATy8ysbgz4zOKIGFeJQoaKcSObOLBlrK8cMrO6UU431L8rZ5zt5J5Izaye9BkEkkZK2guYJGmCpL2S1wxgWsUqrEOF1hyrNm7j+ZUbq12KmdmA+js19DHgImAq8Ag7u55eC1yVbln1rVDyxLJ9J46pbjFmZgPo84ggIq6IiP2Az0TE/hGxX/I6KiIcBP04ZJ9xjGpqZJYbjM2sDvR3auj1kiZHxH8m7z8k6VeSrkxOGfVL0nWSVkh6rI/pSta1SNJcSUfv+ceoLcMaGzjCPZGaWZ3or7H4O8BWAElvpvh4yhuANcA1Zaz7B8DJ/Uw/BTgoeZ0LfLuMddaNQmuOx5etZcv2zmqXYmbWr/6CoDEiVibD7weuiYifR8T/AQ4caMURcS+wsp9Z3gPcEEUPAjlJU8otvNYV8jm2dnaxwD2RmlmN6zcIJHU3Jr8N+H3JtAHvPyjDNGBxyfsl9HE1kqRzJbVLau/o6BiETaevrTUHwOznfT+BmdW2/oLgJuAeSb8CNgH3AUg6kOLpoYqJiGsiYmZEzGxpaankpvfYlOZR7DPePZGaWe3r85d9RFyW3Dg2Bbgjdt4d1QB8YhC2vRTIl7yfnowbMtwTqZnVg37vLI6IByPi5ojYUDLuyYh4dBC2fQvwoeTqoeOANRHxwiCst2YU8hN47uWNrNywtdqlmJn1aTDO9fdK0k3ACRTvTF4C/F+gCSAirgZuBU4FFgEbgbPTqqVaum8sm7N4NSceund1izEz60NqQRARZw4wPYAL0tp+LThyejMNglkOAjOrYeV0Q217aMyIYRy8zzi3E5hZTXMQpKyQzzHHPZGaWQ1zEKSskM+xZtM2nnlpw8Azm5lVgYMgZYXuG8t8esjMapSDIGUH7T2OMcMbHQRmVrMcBClrbBBHTHdPpGZWuxwEFdDWOoHHl61l8zb3RGpmtcdBUAGFfI7tXcH8ZRXtosnMrCwOggpoS+4w9hPLzKwWOQgqYO/xI5naPNLtBGZWkxwEFVJodU+kZlabHAQVUsjnWLJqEy+t31LtUszMduEgqJBCfgIAs91OYGY1xkFQIUdMa6axQT49ZGY1x0FQIaOGN3KIeyI1sxrkIKigQmuxJ9KuLvdEama1w0FQQYV8jnVbtvP0S+urXYqZ2Q4OggryjWVmVoscBBV0QMtYxo0Y5nYCM6spDoIKamgQR+VzPiIws5riIKiwQj7HwuXr2LTVPZGaWW1wEFRYIZ+jsyuYt9Q9kZpZbXAQVNjOR1euqm4hZmYJB0GFTRo7gukTRrnB2MxqhoOgCgr5nPscMrOakWoQSDpZ0kJJiyR9tpfpZ0nqkDQ7eX0kzXpqRSGfY9mazaxYu7napZiZpRcEkhqBbwKnAIcBZ0o6rJdZfxIRheT1vbTqqSVtSTvBLJ8eMrMakOYRwTHAooh4OiK2Aj8G3pPi9urG4VObGeaeSM2sRqQZBNOAxSXvlyTjenqvpLmSfiYp39uKJJ0rqV1Se0dHRxq1VtTIpkZeM2W82wnMrCZUu7H418CMiDgSuBO4vreZIuKaiJgZETNbWloqWmBaCvkcc5esptM9kZpZlaUZBEuB0l/405NxO0TEyxHR/ezG7wGvS7GemtLWmmPD1k6eWrGu2qWYWcalGQQPAwdJ2k/ScOAM4JbSGSRNKXn7bmBBivXUlELSE6lPD5lZtaUWBBGxHbgQuJ3iDv6nETFf0qWS3p3M9klJ8yXNAT4JnJVWPbVmv0ljaB7V5AZjM6u6YWmuPCJuBW7tMe7ikuHPAZ9Ls4ZaJRV7InUQmFm1VbuxONMK+RxPLl/Hhi3bq12KmWWYg6CK2vI5ugLmLnFPpGZWPQ6CKjqqu8HYp4fMrIocBFW015jh7DtxtLukNrOqchBUWcENxmZWZQ6CKivkcyxfu4X7n3qp2qWYWUY5CKrsHYdPZp/xI/jAtQ/xkesf5snlvtPYzCrLQVBl03KjuPszJ/IP7zyEh55ZycnfuJd/+O85LFu9qdqlmVlGKKK+Oj2bOXNmtLe3V7uMVKzasJVv3b2I6//4HAjOfsMMPn7CAeRGD692aWZW5yQ9EhEze53mIKg9S1Zt5Ot3PsUvZi1h3IhhnH/igZz1hhmMbGqsdmlmVqccBHXqiRfX8tXbFvL7J1YwefxIPn3SQbz36OkMa/QZPTPbPf0FgfcoNezQyeO57qzX8+Nzj2Ny80j+6efzOPmK+7hj/ovUW4CbWe1yENSB4/afyM3nv4GrP/A6uiI498ZHOP3qB3j42ZXVLs3MhgAHQZ2QxMmvncwdF72ZL/31ESxeuZH3Xf0AH7m+3Zecmtmr4jaCOrVpayfX/eEZrr77z2zYup3TXzedi95+MFNzo6pdmpnVIDcWD2GrNmzlm3ct4oYHnkOCs944g/PfciDNo5uqXZqZ1RAHQQYsWbWRy+98kptnLfUlp2b2Cg6CDFnwwlq+etsT3LWwg8njR/J3Jx3MXx89zZecmmWcLx/NkNdMGc/3zz6Gmz56HPs0j+Qffz6XU664jzsfX+5LTs2sVw6CIer4Aybyy/PfwNUfOJrOruCjN7TzvqsfoN2XnJpZDw6CIax4yekU7vj0m/niXx3B8ys3cnpyyelTvuTUzBJuI8iQjVu38/0/PLvLJaefPulgpjT7klOzoc6NxbaLlcklpzf6klOzzHAQWK8Wr9zI1+98kptnFy85veDEA/mwLzk1G5KqdtWQpJMlLZS0SNJne5k+QtJPkukPSZqRZj22q/xeo7n8/QVu/eSbeN2+E/jSb5/gxH+/m58+vJjOrvr6gWBmey61IwJJjcCTwEnAEuBh4MyIeLxknvOBIyPiPElnAH8VEe/vb70+IkjPA39+mS/f9gRzFq/moL3H8umTDqZ1r9Gpb1fa/WUaG0SDRINI/iavBl4x3Ji8VwM7h7XrOrQnRaQsIoiArgi6dvzdORxdu46LCDq7p3eVLlscB93zJcsnf2Hn+ygdjii+74od4+kxT1cyz85ady63yzh21hjJ+4jiv33x36P035LkvWhs2DncsGPe0n9zeixbMr2hl/V1T2/of32U1Ljjs8CO2tkxvpf5ovvfr5919FhfxK7DfS2/9/iRTNvDbmSqcmpI0vHAFyLincn7zwFExJdK5rk9mecBScOAF4GW6KcoB0G6IoLbHnuRr92+kKdf2lDtciqme2fQWLJjaGzYdbihxw6joeGVw9Fzp93FK8d1D++ys+5lR++DMuvhvLccwGdPOXSPlu0vCIa9qqr6Nw1YXPJ+CXBsX/NExHZJa4CJwEulM0k6FzgXoLW1Na16jeKvoVOOmMLbD9uHB59+mc3bunZr+d39YbEn+7ruX1RdAZ0RyXDQ2dW9A9053L3D7bmj7ezadb5dfk33XKarx7a6SOYt7qw7u2LHunf+8uzll27y67axx6/U7iApDaOBpqvk13Nx2s7t7DK9AYRKfnknfymuf9f3xWFKxnUvUxzdcz0Au/4q756ne/7u7Td0j+ux3tIg7C1Eex7xlE7vGaKxyzK9BfDO6b0umwx3dsWOOpOvY8d3VfzIpdNUMk/xPaXLdI/f5bvpe3l2ef/K5VsnpnOEnmYQDJqIuAa4BopHBFUuJxOaGht400Et1S7DzCogzcbipUC+5P30ZFyv8ySnhpqBl1OsyczMekgzCB4GDpK0n6ThwBnALT3muQX4cDJ8OvD7/toHzMxs8KV2aig5538hcDvQCFwXEfMlXQq0R8QtwLXAjZIWASsphoWZmVVQqm0EEXErcGuPcReXDG8G3pdmDWZm1j93OmdmlnEOAjOzjHMQmJllnIPAzCzj6q73UUkdwHN7uPgkety1bAPyd2Y2NOwbEb3eJVp3QfBqSGrvq68N652/M7Ohz6eGzMwyzkFgZpZxWQuCa6pdQB3yd2Y2xGWqjcDMzF4pa0cEZmbWg4PAzCzjMhEEkq6TtELSY9WupR5IGinpT5LmSJov6ZJq12Rm6clEEAA/AE6udhF1ZAvw1og4CigAJ0s6rrolmVlaMhEEEXEvxecdWBmiaH3ytil5+aoCsyEqE0Fgu09So6TZwArgzoh4qMolmVlKHATWq4jojIgCxWdNHyPptVUuycxS4iCwfkXEauAu3MZiNmQ5COwVJLVIyiXDo4CTgCeqWpSZpSYTQSDpJuAB4BBJSySdU+2aatwU4C5Jc4GHKbYR/E+VazKzlLiLCTOzjMvEEYGZmfXNQWBmlnEOAjOzjHMQmJllnIPAzCzjHARWEZJC0n+UvP+MpC8M0rp/IOn0wVjXANt5n6QFku5Ke1vVJumfq12DVY6DwCplC/DXkiZVu5BSkobtxuznAB+NiBPTqqeGOAgyxEFglbKd4vOPP91zQs9f9JLWJ39PkHSPpF9JelrSlyX9TfKshHmSDihZzdsltUt6UtK7kuUbJX1N0sOS5kr6WMl675N0C/B4L/Wcmaz/MUlfScZdDPwFcK2kr/WyzD8ly8yR9OVkXEHSg8m2b5Y0IRl/t6SvJ/UukPR6Sb+Q9JSkf0vmmSHpCUk/Sub5maTRybS3SZqVbO86SSOS8c9KukTSo8m0Q5PxY5L5/pQs955k/FnJdm9Ltv3VZPyXgVGSZifbHyPpN8lne0zS+3fj393qQUT45VfqL2A9MB54FmgGPgN8IZn2A+D00nmTvycAqyne6TwCWApckkz7FPCNkuVvo/jD5iBgCTASOBf4fDLPCKAd2C9Z7wZgv17qnAo8D7QAw4DfA6cl0+4GZvayzCnAH4HRyfu9kr9zgbckw5eW1Hs38JWSz7Gs5DMuASYCMyh2/f3GZL7rku9sJLAYODgZfwNwUTL8LPCJZPh84HvJ8BeBDyTDOeBJYAxwFvB08u8xEngOyJf+GyTD7wW+W/K+udr/n/wa3JePCKxiImItxR3XJ3djsYcj4oWI2AL8GbgjGT+P4s6y208joisinqK4czsUeAfwoaQ77Yco7mAPSub/U0Q808v2Xg/cHREdEbEd+BHw5gFqfDvw/YjYmHzOlZKagVxE3JPMc32P9dxS8jnml3zGp4F8Mm1xRPwhGf4hxSOSQ4BnIuLJPtb7i+TvI+z8ft4BfDb5Hu6muNNvTab9LiLWRMRmikdH+/by+eYBJ0n6iqQ3RcSaAb4PqzO7c37UbDB8A3gU+H7JuO0kpyklNQDDS6ZtKRnuKnnfxa7/f3v2lRKAKP5Cvr10gqQTKB4RVFPp5+j5Gbs/V2+fqdz1dpasR8B7I2Jh6YySju2x7dJldm404klJRwOnAv8m6XcRcWkZtVid8BGBVVRErAR+SrHhtduzwOuS4XdTfCLa7nqfpIak3WB/YCFwO/BxSU0Akg6WNGaA9fwJeIukSZIagTOBewZY5k7g7JJz+Hslv5pXSXpTMs8Hy1hPT62Sjk+G/zdwf/K5Zkg6cDfWezvwCUlK6msrY9vbSr63qcDGiPgh8DXg6N37GFbrfERg1fAfwIUl778L/ErSHIrn+vfk1/rzFHfi44HzImKzpO9RPD3yaLIT7ABO628lEfGCpM9SfAaDgN9ExK8GWOY2SQWgXdJW4FaKV918GLg6CYingbN38zMtBC6QdB3F0zbfTj7X2cB/J1c8PQxcPcB6/pXikdjc5IjrGeBdAyxzTTL/oxRP531NUhewDfj4bn4Oq3HufdSsBkmaAfxPRPjJcJY6nxoyM8s4HxGYmWWcjwjMzDLOQWBmlnEOAjOzjHMQmJllnIPAzCzj/j8s81c1kvKrxgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(1, 10):\n",
    "    mds = MDS(n_components=i)\n",
    "    pts = mds.fit_transform(df_scaled)\n",
    "    MDS_stress.append(mds.stress_)\n",
    "\n",
    "\n",
    "plt.plot(range(1, 10), MDS_stress)\n",
    "plt.xticks(range(1, 5, 2))\n",
    "plt.title('Plot of stress')\n",
    "plt.xlabel('Number of components')\n",
    "plt.ylabel('Stress values')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "mds = MDS(n_components=3)\n",
    "x = mds.fit_transform(df_scaled)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.006651187122331157\n"
     ]
    }
   ],
   "source": [
    "cities = ['A','B','C','D','E']\n",
    "\n",
    "plt.figure(figsize=(5,5))\n",
    "plt.scatter(x[:,0],x[:,1])\n",
    "plt.title('MDS with Sklearn')\n",
    "for label, x, y in zip(cities, x[:, 0], x[:, 1]):\n",
    "    plt.annotate(\n",
    "        label,\n",
    "        xy = (x, y), \n",
    "        xytext = (-10, 10),\n",
    "        textcoords = 'offset points'\n",
    "    )\n",
    "plt.show()\n",
    "print(mds.stress_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# t-SNE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.manifold import TSNE\n",
    "from keras.datasets import mnist\n",
    "from sklearn.datasets import load_iris\n",
    "from numpy import reshape\n",
    "import seaborn as sns\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = load_iris()\n",
    "iris_data = iris.data\n",
    "iris_target = iris.target\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['sepal length (cm)',\n",
       " 'sepal width (cm)',\n",
       " 'petal length (cm)',\n",
       " 'petal width (cm)']"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris.feature_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['setosa', 'versicolor', 'virginica'], dtype='<U10')"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris.target_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[t-SNE] Computing 91 nearest neighbors...\n",
      "[t-SNE] Indexed 150 samples in 0.000s...\n",
      "[t-SNE] Computed neighbors for 150 samples in 0.003s...\n",
      "[t-SNE] Computed conditional probabilities for sample 150 / 150\n",
      "[t-SNE] Mean sigma: 0.509910\n",
      "[t-SNE] KL divergence after 250 iterations with early exaggeration: 52.932037\n",
      "[t-SNE] KL divergence after 1000 iterations: 0.123070\n"
     ]
    }
   ],
   "source": [
    "tsne = TSNE(n_components=2, verbose=1, random_state=5)\n",
    "fitted_data = tsne.fit_transform(iris_data)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Text(0.5, 1.0, 'Iris data tSNE projection')]"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris_df = pd.DataFrame()\n",
    "iris_df[\"iris_target\"] = iris_target\n",
    "iris_df[\"tSNE_first_component\"] = fitted_data[:,0]\n",
    "iris_df[\"tSNE_second_component\"] = fitted_data[:,1]\n",
    "\n",
    "sns.scatterplot(x=\"tSNE_first_component\", y=\"tSNE_second_component\", hue=iris_df.iris_target.tolist(),\n",
    "                palette=sns.color_palette(\"hls\", 3),\n",
    "                data=iris_df).set(title=\"Iris data tSNE projection\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[t-SNE] Computing 91 nearest neighbors...\n",
      "[t-SNE] Indexed 150 samples in 0.000s...\n",
      "[t-SNE] Computed neighbors for 150 samples in 0.002s...\n",
      "[t-SNE] Computed conditional probabilities for sample 150 / 150\n",
      "[t-SNE] Mean sigma: 0.509910\n",
      "[t-SNE] KL divergence after 250 iterations with early exaggeration: 93.335091\n",
      "[t-SNE] KL divergence after 1000 iterations: 1.425330\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[Text(0.5, 1.0, 'Iris data T-SNE projection')]"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris = load_iris()\n",
    "iris_data = iris.data\n",
    "iris_target = iris.target\n",
    "\n",
    "tsne = TSNE(n_components=3, verbose=1, random_state=5)\n",
    "fitted_data = tsne.fit_transform(iris_data)\n",
    "iris_df = pd.DataFrame()\n",
    "iris_df[\"iris_target\"] = iris_target\n",
    "iris_df[\"tSNE_first_component\"] = fitted_data[:,0]\n",
    "iris_df[\"tSNE_second_component\"] = fitted_data[:,1]\n",
    "\n",
    "sns.scatterplot(x=\"tSNE_first_component\", y=\"tSNE_second_component\", hue=iris_df.iris_target.tolist(),\n",
    "                palette=sns.color_palette(\"hls\", 3),\n",
    "                data=iris_df).set(title=\"Iris data T-SNE projection\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "(digit, digit_label), (_ , _) = mnist.load_data()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "digit = reshape(digit, [digit.shape[0], digit.shape[1]*digit.shape[2]])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "tsne_MNIST = TSNE(n_components=2, verbose=1, random_state=5)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[t-SNE] Computing 91 nearest neighbors...\n",
      "[t-SNE] Indexed 60000 samples in 0.034s...\n",
      "[t-SNE] Computed neighbors for 60000 samples in 101.236s...\n",
      "[t-SNE] Computed conditional probabilities for sample 1000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 2000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 3000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 4000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 5000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 6000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 7000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 8000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 9000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 10000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 11000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 12000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 13000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 14000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 15000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 16000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 17000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 18000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 19000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 20000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 21000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 22000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 23000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 24000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 25000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 26000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 27000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 28000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 29000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 30000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 31000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 32000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 33000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 34000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 35000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 36000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 37000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 38000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 39000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 40000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 41000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 42000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 43000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 44000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 45000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 46000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 47000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 48000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 49000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 50000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 51000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 52000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 53000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 54000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 55000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 56000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 57000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 58000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 59000 / 60000\n",
      "[t-SNE] Computed conditional probabilities for sample 60000 / 60000\n",
      "[t-SNE] Mean sigma: 351.868772\n",
      "[t-SNE] KL divergence after 250 iterations with early exaggeration: 100.164604\n",
      "[t-SNE] KL divergence after 1000 iterations: 3.086371\n"
     ]
    }
   ],
   "source": [
    "fitted_data = tsne_MNIST.fit_transform(digit)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "mnist_df = pd.DataFrame()\n",
    "mnist_df[\"digit_label\"] = digit_label\n",
    "mnist_df[\"tSNE_first_component\"] = fitted_data[:,0]\n",
    "mnist_df[\"tSNE_second_component\"] = fitted_data[:,1]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Text(0.5, 1.0, 'MNIST data T-SNE projection')]"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Gb2NV+3VYsrhSutq7gFFl5+C0/XMdZS5rAqAIEEIh3fHakPfNfByhOcj2bMRTOQXLKCYV7FrzS/RkO67ySZSNPwvF5kIIgbtiMnLcWfRve2BwVbdZSOKpm4+eaMMZHk0qc/DOkwKHrx5pGaiak+51v0FPtgOg2v3ULPgarS98EzMfo2f9H6ia+Vlysd1UBmaxq+sB9M4UU6u/iF31/VPPocR7S8krVeIDjWFYZPNJcoX4P724rJCT+B0ONq1MEYrYiFTb2bgixR0/6UTXJU0TPKgqbFieQi8MvVaukEDP2Rjl/ziOgVF0R+olTJn/p9oEMG2hnyWnBxGigGJzY/O8YZdhoaA5AjiCjbS/fD2Wnqb9le+hJ9sASbZnPVJa9G26k31PfJaWZ7+Cnu6kcuanAbD56gg0HouqufCNOJKyiefhLBsLgGLzUDHjciyzQCHVQT7ePCgUAGYhQWLf83irZxWfYbwZhIKR6UERxbFoLLd1UEBLfHApzSxKvO8xCgXMdBZFU7H5iuGbpmmRTuXJy3b2pe9Et1I0+JdS5pqO0/7OI1gjngUpETYV1VNcZ2BzgKFDRb2dV5+I0zjBxdxjA9x+Qwd6QbJ1dYrTL6sgnTAHhKk41kondAo5FzvXhnB7I0wdO4fmwm9BsSgkwhhCR7MLPL6//+cmpYXPl2Lh0Sky7RvR3BVEJp5Px8qfII0sIAiPOws920++fzeBxmNRbJ6iD8MZwiwki+aj/l2k25YP1ptsfgF35VQqZn4Wu6eC3vV/wNLT+IYfgbt8EhXTL0OauaJzvflFsr2bCI06iXz/zkPaaOZiqI4AAK6KSQB46+aSKDQD4FBDIIsRVEIpJSz8oFJycJd4X6PHU8Sf3E765T1oFV7KLpiNrdpHMi6RliSrbGNX8layRhcAkyuvoMp32KH1mClMWQApEH2Crhueo9AWx3/UGBynzEDXYfvaDK+/kiJUoXLM2WVkUxbZtIU3oOL2KggFsmkLoyDJZS0ilTacHohHLVp25IlUF1NuxPt0ho9zkug3uf9X3XTsK9A43sXpl1UQKn/30UKWZWKkOjH1DMnWVwiMWELLM1firpxKaMwpIFSEUDCyUTR3BWauj/7tD1E+9eNIq4CZi6HYPBi5GJmO10i2vDik/sDIEwiOPJF9T35myPqLytlX4CobizQLmIUE0iygZ6M4AyOQVoGW578G0hwsXz3vahTVjlA0VEcASxpYuVhRrISBEBqWBVaqHWewCc0Z+Hu+AiX+zZQc3CU+8BiFLPEnthG7fz0AemeCVFuSTNbJX2/vI5exmHlEPRNn/4Ct2W+TLOymNfE0Wm4sKi5sdgEIbK4MG3t+Tl92PXY1wLjwpfjOn0r2uT04l07GMGHTyjRP3NEHwIRZZbz0WJxXn4gD4HApfOybtSgK3HVTJ91tOo3jXRx3XhmKplHISda8kGT3piwAjRNc1I9y8scfdpDsL3aquzdnuefmLs77YjWKApmkSVdrgYo6Ow6ngi946E/RzMVof+V71C78Bp6q6WS6Xgcg07WOTNc6vPWLCI85BbuvHrMQp2P5jwhPOAchBHq6GzMfxxH0omhO3FUzDhELT+VUrEKS8kkXEd/7DIX4XgASe5/B7quh9fmv4wyPIjLpAvpW/ZzKGZ9CKHbqFl9HdMs9SLNAYOTx2NzltL14bdF3otiomP4JLLMAqQ6kqeMMjSS55wl8jceS7FqPv3oaqr20wO+DRslnUeJ9i5XWwSGJfG0uoY9NxdFYhjKimlu+1Ubz9hzdrQX++qdedqzPM8b/eQAcSjlSd5CMmdx/Sw8P/66H3jY79Y6PYFf9FMw463t+im2MD+9FC8nrKomoyYZXklQPszF9sZeRk1yDQgGQz1o8dlsPigJzjwsSrtTYvTnLE3f2IQS07c4PCgXA7k1Zdm3MUlY5dBaxd2sOo2CxaWWKGz/fzO03dPLjzzezcUWKVMwg1qsT7dZJRIv2fWkWMPMJQNC9+hfY/XXFioRK3eLrcVdOpn/HI5iFJOnO1dh8Nfjq5mEZOTRXGBSVjhU/RlFtOMtGE2g6DhQNodgIjT4VoWi0v/wdEvueo2z8h/HUFP0OmjNEPrabwIgjyfZsJLrtAfwNi7EKSfq2/AUhVFyR8Xjr5uDw19O16meY+eLzkpZO95pf4wyPItn8QrG5mgP/iGPpXH4D3srJyNICvg8kpZlFifctlseka/YaenJr8IRrGD/n42xZkcEyh5bb+GqKkZMi2FU/wz3nEu+FX3+jjf0W1i2r0nzi23VMCd5ENpfC0nqwDEnzlizhrMQ92sFZn65EUQWbVqbJpA51lEe7DbpaC9gcgo9cXUsiarD6+QRWziLWZ3DUWWE8PpXdm7JsWpmiZWeOSLWNvVtzg3WU19iwLHjsj31D6n7izj7GTPNw81UtZNMWTRNdnPGpStxOO66q6Ri5KGa+HyPdQ6BpKc6ysWSj2+nbeDsIhWDTUjRnmKpZn6N7za/J9hRzPrkrJlM54zJiOx8lMulivHUL8Q9bgqI5ySf20fbSdSAtzHyczhU3UrvwG+R6txMYcQwdK26kcvonie38K9mejYRGn0rvhtuITDgXU0/hrZ2DZeZAKOTjzUPuR1o60jIpG3828d1Pku1ZT3DkSdQffj1Gqo18ohV3+UQUmxfN6f8XfFNK/CcoSXyJfxtG2iDfqxNdmSK9J0e+791HxBhWjl2xu2lPL6PcMY867QJS2TyhikNt/oGIhsNjMKv6O9jsCiufinOwK840KY7eo4I/fDvFfT/yYuWDVFbZ6X8+gaVJZKhAXKRxVpo4nApOz9CfxoTZHuqanGxYnuLGz+3jth+0U1lvxyhIJh3mZd+2HMufiFNRZ+fcK6qYNNfL/OOD2BzFNRYen8JZn65Eswny2aFiVMhJLFOiDFxy18YsLz7Sj1DtRCacg2Jzg1Do3fRnfA2LsXkqUG1u6hZ9G0/VdJLNz+OpnkEuumNQKAAy3espJDtQHcFi2KvdQ2zHI2S6N9C36a4h6UGkpWPmk9QdcT0963+PUDRMPQ2AIzACIQT+4UcibD40Z5Cu1T+n9YVrMTK9uAec2vtRnWUomoP2l79Lqm056Y7VtL34LfR0F12rf0nv67+j+ekvku3bTEFP0J/dSk7vw7BylHj/UppZlPi3kesw2PKtNqRe7LnDc73UX1CGI/zOTl7DytKVWsGEwDfY8HSYex5PYLNLLr1GpWmii10bi2YfX1BlyWlButIv4JKj8Dr9uH2HRty4vCrZjIndKehqLfDCwzGOODVI2XkBdjhb+H3XMlyKncuajsUtFT52TS2P/rGXaJfOxDle5hwTYMVTMbatzQDFDv5vt/cxcbaXW65pJp8t3uMz90Y55sNhho91omqCz99YTzJq4vYLHL4cqX6Fky+J8PDvegfbNmKcE9UmOPt7AcykwnN/SNG8PYdR8KAqgtjuJ6mc/iksSye2/RFSbS8DIBQb1XO+RO+mu3BXzSTfv+uQ+y4kWvA2LEJ3uCk0v0yy5UU0dzk2T9VAaO0BNHeEtpe+i5HupHLmZ0jsfQabp4rwuDMx8jH0VAeu8CjaXvr+YALDztduombuV0BKMt3rsftqqZj5GVKtywfXcBSRJPY+g7tyKok9TwGSvg1/IjL/86zu/g5Smkyq/CwVnpkoSqlbej9S+lRK/FvI9+o0/7F3UCgAostT1J4egvA7n28ZClXe+XRvq2LZQ8WOqZCX3PKtNi7/bh35jEUua1FWpWFpcbJbD+P5p5OceLFgynwfq59LkE4WR87BiEbjeBcev8qJF5Xz5F19dLUWSMYMnDV21IyN+e5RHK5O5q83pujY20yk2sZRZ4WpGe7gpcdiWIZk96ahI99AmUZ3a2FQKPaz7qUUbq+K3anisSsUjCQ5uZK+6Mu4tSomLf4wuUyIdS+laRjl4IjTw9xRWMaLmW0EVDdf/uJJtD2voDrtWDmTxJ6nUF3leKun07P214PXkZZO/47HqJr1adKd63BXTiGx79khbfHUzGa7Bo/3vMBHqqej7Son2byMylmfJd+/c9DX4B9xDEKohEafXNyzWyhEAvXoqQ4Se57CUzsXd8UkpKkPCgWAmeunffkPqFt8PWYuip7pQyg2FM15yGeq2NxI88C6E7OQwqGGmRu5hrTVy7a+uwi5xuBQQu/8BSnxH6ckFiX+PVigx4xDDhvpd7dwziq4qXedyUMr0kOO59IW619JMXKKE8uSCCHI9vno7cgwboYHu12gS8nl36tnz+YslgU1IxxICffc3EWi3+CCL1UT69PRdXj4xl6yKYXjzptBc7NOx94CAL0dOnfd1MUFV1azd2uOxR+CsdM9tO3OD5q4chkTX+jQWUygTCOXsRAChGJihF6gOX0vAMn8Hvpzm5l5zPeYPK8c1alyQ+whdhSKob9xM8Nv48/xxWOOx2bTKORVKmd9HktPYWR7D7mWp2oafVvuId32KuXTPkZ47BnEdv0NhMA/+kPsctj5fs/TANwsC1w27jRE5/qik3zRtzH1NIrNg1lIYpo5pFmga/UvyEd3UD3nSlRniNC4M5CmQaZzNd7awxCqY0inr7rCmLkorcuuAcBVPpGKaR8ntutvg8Ki2Dz4hx1B+0vXDZ7nH74EKSU2LUBhzV+YNOWjWPINDqkS7xtKYlHiX46UEkXTGfnpEJ1PZOh7JQ0SNL+KPaIRW5Mm36MTmObBHlBRHIe6zqQlkNJJw2iTza8NFYyRE114vCot2zKk4hYVtXbGzfCg2RX2bMly7y+KeY/mHONn4ckhXnw4xvpXkoMzjecfjHLM2RF+8oV9mAN9066NOeJ9h4pb+54cp3+ygnTComqYncu/V88z90bZuT7DkaeFcXtUJs31sGF5momHeZg8z0tFnYNkv47TI4gn4nTLZUPqLJhxMvk+PM5h5AyLC+1LaLH1cl9+OX1GipZCH1K1MPIJpDRBGvSsu5Xahd9AtfsxC4nBulzlE+nd8EcAetbeiq9hEZUzP43dX8dv4+tY1vvMYNntuU60mvk4LOh4+TtYRhZHsGlgJbdF//ZHybSvPNDOZBu+0EgyXWvJdK3HP+JI8vFmyqdcQve634BlIDQX5ZMuxtQPRINlezbS/sr3qZl3Fbn+XViFFK7y8Sg2H75hi8nH9uGtmY2zbDSdK39M1azP4C6fgIx1objr381XrMR7QEksSvzTGKk8WFbRX6oJZFZHILCHVRrO91N7po/2B9NUfyhEzwtx2v8SA0D8sZdx367D23SoycLpFmRSgsnzvGx+LU3z9qIJaMGJASTwkyuasSw494oqNq1IseaFJB6/ypLTQ0xd6GPtC0k2r8owbIyL5QeFwQKYBuzekh0UCoDm7TnmHBNg08qhwjR2hocVT8VZ9WwSAJtd8LFv1nLyRyL09xhIRXL4KWGOOzdCMmby2B97SMVMlpwRJlJtp2ufgWNEgJzRM6Ret8vL3vUFHvhNN5mkxbAxbr54+cl8L3U/n40cjr+QJ5doxu6rJbG3aFrq23QnVXO+SGznYxjpbrz1CxCKimJzY+lpQJJsXkay5SXqj/4xKzJ7ONhAVqZ5UVUn3etuHVxUl4/tonfDH/HUziE08kSCjUVzlKVn0DxVWIaOq3wiEshHd+CqmAzOMA1H3oClZ1EdvmKacs0xRMj0VDuWmSe573ksM0fvhj8SHHsGnprZOMNjSHesGhA5SbZnM97aOaTaX0ORLvI5E4eztNL7/UZJLEr83RipAlY8Q/zpbaheB94FjcU3FIEVK9B10/PoHQkcI8qo/MxizL4U9WcGMQrWoFBAsb/qeS6BI5AuvhAKWjiMUBSyKckt32zj0m/UMPtIP0vPK8MTUEn2Gzz1lyimCaOnuunr1HnugX4A4n0Gd/ykk49fW0dnc55M0iRUbkNVGSIMlQ12QpGhX/3WXXkCEY2jzwqz/Ik4ml1w+IdCOF3KoFAA6AXJX//Uy1FnhtmxPkPjBBcP3tpDf7fBiHFOTriwnD//uIP7ftnNZdfV0TgmguW6mHU93xrMj1TlnY8iPdx5U+dgGPC+bTlevUvh2xefgT+7j+bl3wBpEmg6HtVZtOHnojvoXHkToVEn4Bp3Fkaun+jW+wiPO5Pe9X8YbGN4zGnk4y18IjyXm6Mvo0sTp7BxefkRuHMpom8w9eT6dxJoWopQHXQs/wGWnkZzl1M998tYRoKulTehp4tmMrbcQ/2RNyCECgNSJDQnSJPaw68jtv1hjGwfvoZFKJoby8iSj+0e+MAtEnuefkP6czByMYTNi69uHugJVNVJJunE/Q+kRynx76P0aZR41+j9GcxYFqM3hb0uhOK2E71nLfEntlB95ZHkdvdhZvIEjhqDozGCVTAodCVwDAuDJdFsBiM+WUZiQ55cl45VkNSeJOn8+Y3k9+5GDYWp/NinsI9oopBX6e8x6G3X2bUpwyN/SHP2Z6pIRA1ymaI5afhYF1tWD50JWCb0dRY44tQQiiLQ7HDRV2t46Hc9xHsNJs3xMm2BD0UVjJzsYuf6gaiqkIrNrjBqiovGCS7yOYtAmUp/76GmqWTMRAjBxMO83Hpd+2Ao7J4tOZ69L8rcY4M8eVcf65cnOfzUAFDLvKqfEIvvxqmWYXV4sXQH4QobvR0HIoa69hYoU5y0v/7bwZF/qvVlqg77Ipmuddh9NZRNvAA91YGR6cXmrSYX3Y7NXU7twmvJx/fiDDUhUUnue4Y6aXHjyOMo2L24FY385vugYRFCsQ2JVHJFxmFzl5NP7KN86qVkul4n2fIS3atupnzaxw8IBRAYcRSZrjX0bbgdkAjVQfWcK0l3rSPYdCz+EUchhEay9WVi2x8mMvli2l/+DtLSSbe9QvnUjw4VC6HhH3Y4sa33kmx7Bc0RJDLlI9i8NRh64E1TwZd4byiJRYl3xMyamJkC0T+vJPXKHgCETaXm68eCadH/4HpyO3pIvd5K5cfm033Ly/T+eRW131iKNC1ij20i8fQ2hKoQOn0KVQuDFHryuCeH6PnDL8jvLY48zf4oHT+7kYbv/AifsHPaRUGWPRLltI9VMueYIE6PQqhcAwFtu3tI9huEK2zs2zY0SsnlUXnglm6SMZMR452c/slyTvt4BaYhSScMYn0GD/y6m1M+XsGx55SRjJm4vSqZlE7NcCfZtEVPW4Hlj8dZel4Et08hkzzgmJ88z4vbr1DIyUPWTOzelGXBCUGg6FjPKJvx58ex/oo4jnAlRtLESCXxjtY5/LgA9/7+gNN60hwfUkjMbPTAs8/H6dt0B/VLfog083St+TXuyFjy8b3ktz9I1WFfoPW5q4jtfhx3+SSc4VEUEs1o7nKM3s24Uz0EA276N99Net+zCCNLxfRP0rvhj5j5OM7waCKTLsTIRoltfxgzH8fXsIjqOV+i49UfoWjFJIvuiikER56AzVPJvqe/wP5ZhTTzxPc8TXDk8bQ8dxVWIYVQHVTO+BTeunkIoOHon5KP7UG1exCqnarZV9C/4xGEYqN8yiUk9j5LfM+TABQKKdpf/i7Djv4JlmVSWgr2/uF9IRaiOKddBbRJKU8UQowA7gLKgNXABVLKwnvZxv9V9IRJ6z19VB9lHxQKAKmb9P15FRWfXED/Y5uwDy+jbFQ52U0d5Hf2EjhmLErAhaIK/AtHEjhiNMlX99B3+yqqrzyS+ENr8Ew+nOz2rUOuJ3NZrEyG1q/9leEfmkL1uWN4/I4+mia6GDXZzfKn4lTUOTj9sgq2r01zxKlhdm3KkIgWR+ITZnvIZSySseLrPZtzdLcalFVqqJpCpNrG/32luFL6d9e3UzPCzpxjg1TU2HA47SRjJr/8euugeSiX6eaj19TyzL1R+rsNJs31MvEwD6/8Lca840NoNoHNLpi+2EdZlZ1sxiQQ0Zi60EvTRDdGrpFCRuIb7STXrmMMrA5P78kz+mPlON0Kw8Y6mTLdwcjJLiQm7rr5pJufH3wmZq4fFJV8fwuhUSeQ2Pc8iuaibMKHsQpp6o/8EZaexswniG6+m/C4M0n078IRGoll5LH0LHqyBYBUy0tYhTQV0z+J5i5HUR1Iy6DtpW8PJhPs3/YAZRPPJzTuwyAU3DWH4W9YSOeq/6P6sC8MSSII4K09jO7VN2MVUsXP0MzTveZXVM35Eu0vf5dA4zF4qmdimQVsrghWso2yiecjhMAysofsz4E0ycf34ir3AzZMy6BgxgCJQMVpexex1yX+5bwvxAL4HLAF2L/2/wfAT6SUdwkhfgVcCvzyvWrc/ypGOo+VLlA214lQLcJnT8dMF4g/thEkGLEMEothPz6NxPPbyaxtxTEiQu01x4HbjhXL0P7jZzHjORAQOnUq9T/6EDJvEvzQZMx4DmfjSHI7tg1eU9gdKE4XUjcxw34euKUHu1NQyEmQxfxKrz6ZoLbRwajJbrasSnPJ12pIRE08fpXejgL3/rJ7yH1YliwOUIVELxQzx+6nfU+B+3/Vzce+UcvzD0U56SPlQ9KJ7NuW45n7ohx9VphM2sLtUehuK1DV4GDn+gwf/mwlvpDGq0/E2bk+zsgpLvScxZLTwqx/OcnEOV7ymsR9Zpgyj4KImez9QTu+CS6EHa78QRW5VXtJv7SXzL4g3lOnERp/FtLpw+hYixpowDX2NPKmHUV10LH8+4NtS3esov7w76LYPViFNIrmJjByKZ0rfzoYZutrWISrfDyemsPIRXeAouGumIRic2ENhM0W+vcOyToLkGp9harZV2AUMlRM/RjRLXdj6RksI4/mKsPIHkhZYvNUDDFVAVhGtrhDoDSJ7/obnuqZCKGgZ3pwRcZTiO9DdUUQNhd2Xw2FxNCUITZPJdIyMcwcqUIzG7puJmt04Xc0Mbnys7jtb9jTo8S/nfdcLIQQdcAJwHeAL4jiHpRLgHMHitwGXEtJLP5jSNNC702T39lN4pntKB47jjOnYW8o+imCJ06g/961qEE3itNO7LFN5LZ1U2iJkd/dR25HN5WfWUT03nVFoQCQ0H//OtzT6+i7czXBEyZg9htUXPIJOm76EXpnB4rHS8UlnyC7uRckOMZU0XFLG0LA0vMjWCYMH+eis7lA2+48bbuLsf5Nk1z85eed1DY6GDfdg54/EAPkcCnUDHeg6xa5tERVwRtQScUPKELNCAd9XTo7Xs8S7zUYO93N1jWZwfedbgW9UHS4A5x1eQXDZ3Xw8t1BRk4Oc8dPOgfXZ3S1FujvNjjmw2H+ensfrzwR5yNX1XD3zd1k0yYzj/Az94cNaBJyFpj9Wfr+tBIsSW5rF1I38VwwA//ID5EddgSoNhL9Dro2pmjwHwiDLX5OebK9m/HUzATFhhAK7S9cP6SMp2oG7S9/h8qZnybQtBS7r5Zc/67BcFvNXUHV7M8f8h2weSqRSBJ7HkeaOsGmYwk0Hk10891Uzvos0c13k080466YimLz4AyPJhfdPni+5irDMg6YB3PR7aiOEI7gCKJb7iHbswkj21vMnDv+bHLRHYMC5G88FsXmRbE5yZv9rO34EbpVDDJI5HexsftmJlddgVMrLd77T/KeiwXwU+DLwP4da8qAmJRy/1CnFah9sxOFEB8HPg7Q0NDw723l/xBmOk9+Vw9d//fC4DHnmEpcYypIvdaMIxomdOpUUAFd4myMoAVduC6cTfyprSRf3IVQVfT2g0JWFUH5pXNRvXYi585AcdoQTg1Th6rPXo1QDISqkdsdhzqFip8txlI0Rox3sXtTlod/18NZn65kwQlB0gmDja+msTkES8+L4AupXHJ1LVJK3F6VUz8mWL0siT+kcsRpYaSUJKIGW9dkmLrAx1mfruTBW7uJdhlUNdg56eII9/+6OBvpaS8w+yj/oFj4wyqLTgqxZ0uWsz9Tye7NGRrGONnQdxOHHX8dpsGgUOxny6o0S8+PABDrMejv1pm2yIvTpVLb6CBvSAwNNr6aJlSmUnHkWNJPbcExt4H+0+v5Ud9D9OoJjvNP5jhnEyGHjYq5Gskdh6b1Vuxe8vFmLD2DPTCi2JFvvQ+kRaDxGIxsH3qyje51v6Nq1mfA1OlZd+vg+UamGzMXw1u3YHBfb9UZIjz+LNpf/NZgB55qe4XaBd8gMPJ4hGIr5olSNQrJNiwjS+XMy4tJDHu34AgMIzL5Qno33jF4HUdgOJq7gkJiH4rNTfmUi9HTPfRuuI3QqBOpXfQtLCOLojqK+3SoNhRFxTTyg0Kxn1hu+5C8ViX+M7ynYiGEOBHollKuFkIc/veeL6W8BbgFipsf/Wtb97+DnjAGF80JIbBSeZIvHsgz5J07AoDWax4bPOaZM5zIhbPp+uUL5DYPmCBUheovHUm+uR9hU3HPqCfxZNEnEblgNs5R5fTdsZr8viju8VUET5mMRGX7DRk8TQ7qz/HCuCyvR29AZiSTfN/nmA+X8fife2nZkaNlR466kQ5mHxUY7IylLO4NYeoSf1jD0CWjp7mQEqLdOrf9oJ1cxuJT36nH7VOI9Ri88EiM0z5Rgdev0rorzwO3dNPTrqOq0DDahTeg8KWbhiGlLCb+y1msWZYk3mcwdYEPmx1GOy/Cb1fQUwJVK67dGHw2fpV0fKhZZ9JcL0/c0cdf/9SLzS44+uwwNSPs5LMS++wm0k9vwXHWRL6WeJDCwDjpwfgaFjvrCGs5pGkRGHEUqbZXB3bIA5u3GmeoqdhJ921h2NE/JbH3eUKjTsQZHk3vxj+T6VyD6gxTPukCulb+lLIJ5xzy+fdtupOKGZ8kOOoEpJFDdYbJdK0bYmpCWiSbl+FvPI50xyr6t94z+FZ081+oP/KnVEz/FHqmG9XhI9nyCvnYHoTqIDjyBBS7h75Nd5DpXA1AfNffKJt4PuEJ55KL7sRdNQ3FHkCoGprNPVi3KhyowoUpDyz689mHA+Jtv9Ml/vW81zOL+cDJQojjASdFn8VNQFAIoQ3MLuqAtrepo8Q/iJExSW3N0Xp3H9KC4ZeUYy/XUBw2VN+BhXK+hU10/fJFXBOrCZ4wEcWhYeZ0zHj2gFBAMTLqofWUnTMDFIF/yWikbpJeuQ/39Do6fvD04Gwj0ZXETOaJfOQwxn4xgFUwMXoSqGUOptmvRO9M4HLn6e5XmDTXyykfrWDVs3H0gqSy3k5XS4FItQ09b2F3KKx5NcHqZQmGjXJR0+SgdriDB289sBDupUf7WfyhEKm4yeipLpxuFYdLIRkzkBIaRjs54tQQdofglb/FeenRGJYFY6a5Oe68Mpomutj4aoplD/WjajDryBkUckV/yNFnl/H4n4sdqxBw/IURlj0UAyBSbaOsTkexJ3H7LaQs5rh67I99fPr79VTUKMiUheJ10Et6UCgARjoq8ecStLz8XconX0Qu3kzt/K+Ri25H0VzYvJVYhTThCedg5qKY+QT52C6yPetpOPon5KPFLVADw5fQv/1B8rHdaO5yhOZEHmQicldNIb77CcxCCm/9QlAd8CY7aArNiVC0N91aNdvzOnqmG3flFOJ7niYw4mg8lVOQlkG2dzOq3Te4lmb/rKB/+0PUzP8aqsNHProDxe7B5q3FFCpIC0VzoCkeJld9hg1dN2NYaZxahImVl5ec3O8B76lYSCmvAq4CGJhZfElKeZ4Q4h7gDIoRURcBD71XbXy/E9VT5KSBisCuaIQ0z7s+t9BjsP2HHQBUHO0n21Jg2/fbqT8nQPCECaRXNWNlCghVwTG6guCS0XT/6iXMeBZHU4Sycw/didHKFLBV+Sk0R9G7kgSPn4D/8FFgyqFmKSC9uoXgyZNo+8ZjKG475ZfMQSQ1Om8YSIYnBDWfX4xreCWGYVE5rJhGw+5w4vIoGAWJ26vQ21lce3HO56rZsiqNqgjClTamLfKy9oVihE4ua6FqxXTmlgm/+FoLvoDKxVfVMGZa0c/hDapkkiYvPBwbbOO2tRmGjXEO+k12vJ5hw/IUDSOLmWIzKZOmiS4uu76OaJdO3UgHekHSsVfjpKk+mqaabE59k5zRy9xTrqF9l5uOfUWz1e5NWTauTHLyxeWEPrmYQtADBy0bOdE9kr7X/wjSJNW+Em/dPFpf+CaO4AikmUdaBtVzroR8AtURRHWFi2aoTX/ByEapWfB1cn3bsPvrSba9CkD/jkeoXfhNetffhpHpxVs7G3f5JNpf/RFVMz+DIzQSI9ePu2oq6vYgZr74LBSbG1/9QnQljz3QQKZr7ZDP0u6vR3OGkEYBaekUEi1orjLy8WYcwRH0b38YZ3g0oTGn0bXq/4o5oywDMx+ja+VPqJ73VSw9C9Ig1foylp7BUz0TRXMSck5gbv0PsKSOKuw4Sr6K94T3embxVnwFuEsIcT2wFvjte9ye/zhG3gQTNPdbpz2IGil+3Pk4O/PF0f0M93AurTic8LsUjN6XBmzBAiKL/Gz+ZitYEFufJzjBTf0PPkRuZw9K0EXkzGm0fecJrGTRqZzf1YtiV1EDLsz4ARNB4NhxZHd0k16+l8zrrQhNpe7bJyA0BTQFjAO2Zi3sxowVz7UyBbp+9RJ131x6oIFS0nPrcup+cBLdUUFVnY26Rge3/bCDWI+B3Sm4+KoauloKjJnm4dZvH9jw6LVnE1x8VTVrX0ghBMxY7Of5h/o57Mggz90/sOI7anLTlS0cd24ZlfU2nr6vj7oRh6YeadmRJ1xp408/6uCSr9WQzZrkCxa9e3Wq6h3cfFUrNofAF1RJJ0w+ek0th51gsSv9a9bFt7B/TUJr4U5mHfsJHr6lKBbVw+w8d7/Oo7f1csJFEbxZlctCR/Gr/meQSIKqa2CnvGK+JXf5RKoP+yKp9hXYvMVd8XrW3Uqm+3WE5qR80kUIm4fyqZcgNCfZnk2kO1djT3VSNftz9G26C1d4NIrNS2TS+Siai1T7a/RuuZvIxPNwBBvpef33+IcvoZBso3rOF8lFtyMtA0/VTITNw9qe7zNl+KcoxPaQ6V6PUB2Ex52JNAtk+7YQ3/U3AJJ7nyU84Vw0R4DOFTcOPkt76yuUT76Yjld/RKDxWNLtK9HTXRjZPoTqoGvVzeT6thS/31vvpW7htShS4HJF3tV3+l+BZVkYMlM0gSnvfs/0/3beN2IhpXweeH7g/7uB2e9le94rjIyJkTLJ7M7jrLVjpi0Ut8DmGfpRmZbFC4ltg0IBsDqzl8NzXYS9je/qWq5aOwCqRyAtCRY0nB8kNM2GQLLvinvxLR6FrSeJd+awQaHYT8/vX6XuuhOIPrQeoyeFf8loHMPC9D+4HkdjGZELZ2Ml8+g9SWx1QSLnzqD3jwMx9aqg7LyZxJ8+aJ2FYWFldVAVMIuiYqXyULDwl2kU8pJ7bu4mkzSZfZSfilo7O9almTzfx6N/6B1iOenr1Il2G8xd6mfKPB8uj4LNLmjbM/QeALasTjNpbiUul2DCYR6GjXVhdwja9+RZ9lA/w8c5iXYVqB/lZMOrKY48LUy8z6BiloNC1uTzNzSweXWKp++OYpmwc0OGcQuz9Gc3D/1srTQuF2g2waKTg7TtyZNNW8SjBl3NBZ5blWbJacO4KfgR4jJNpcNBoX4hsR0PF+9p8104w2OonP15LD1Dz/o/FIVCdWBzV9C76Q7qFl+Hke4i172e6Ja7Ach2r8furyXQeDSJPU/jCI6g7YVvYfNW4atfiL9hEfl4C+6KKWS61lI++SKan/0y0sjhDI8CodK39X4alnwfhKA5/RyNUz+FEc9j5UD12lAcSeJ7nhpyv5rdR/+OoUaBQrIVxeamYuanQUr61xTvTVomRq4TzRkYLCuNHPE9TxIeeyamnkW1ud72+/yvIGf005NeQ0/6NfyORuoCR+HUSiYveB+Jxf8SBUsnYxZQUfCoDhRFoRA16H0pSb5Lp/wIP0bGYuOVLdSdU0Z4gRebB1JGjqwsIBA4hcaefM8hde/OdzPrXYqFb6oL72gHjR8LIqVF2UIPbl+M9utXUXfdiUQumkP0ztVYmQKu0ZWHzCKkYZHd2YMQAu9hw1FcNpqvuH/w/dTLuym/eA6xRzdR8fH5eA4bgWtiDUZvGlu1n/SqZrLr2wfLC7uK4nEMCgWAe1odetZizfI4UxYESPbrXHJ1LWuWJVj9fIKG0U6cLgW789CVvqYuWXB8kCfu7GP+8UHmHhdCmpLxszxsWZUeFJfG8S6klCw9v5y9W3M8/Psesqni9qYfuboGh0th82tpwpV2xkzzgJAEy21YlsTtV8mmLcoqND77wwaeuLMHl0dFI4BDDZE3+wfbU+9fStBXziVfM9i2Ns0TdxT9HJPn+ti5Mcvm19IsOilE52adV5/McsxZOtVVE1E0J+nONdh8tYRHfwhp5FBUG/noDoKjT8ZTOZ18fC92Xx1IC9UVIb76QKS5KzIegI5Xims0FJuH8qmX0rPut/RtugPV7qd6/lUkml+k+rAvIKU14NOQQ8JhQaKbSer8S7DSCnt/rZPalkOoMOWXwUOev8QayCE1FKE5ie9+iny0uL7G5qtBc5UBoKc6h5S1jDwSC2nm/u1ioZsZ9vY/QnP8rwD0ZtbRl1nPlKovlHwklMTiP4qUkoxZICd1evQE3fkEY7Rq3IYdvdsi+kqSzN4CPc8kGHVlNZEjvHQ82k/4GC99epK/9K1gQ7aVEY4IHy6byxH+8axID90dbabn3QnF/vaM/EwEK5Em/tct1J05jbZrniN4/ASMnhS5bV1Uf/lI1JAbkFRfeSSdNz2P0ZPCVhug4mPz6P71yxRaY5RfMoe+O1cPqV/vSCANk0JbjJ7fLyd4/ASEpiBNi9zOHrxzRpBeuY/cjh7UkIvyi+eg+J14F40kv7MH28Rq1JMmkMPJk39pZtJcPydcWM7jd/QO7m3dsa9AtNtg6XllbFl1wOAfKNOorLOT6DdQVIVMyuKxP3aRTZnMPjrApLle7vl5FxMO8zL9cB+71mdonOjm7p93DYrIro1Zlj8RxxdUefa+YqdvmZJwlZ1gWOP+X3fT1VogUKbxoUvLefqePk68qILiWjTJzOpvszf2CDmrk0rnEkL28RhZcPtUGkY7uez6Orpb87h9Gn++seg7cvsUwtLG7CV+DF1gFVpxBabhq19AYt8yulbdjJQWVXO/TGTaxzBz/bS9eO3gfYfGnoF/2BEoNvegv8FTPXMwcy1AsnkZIGg46kYss1BcxS0lrvJxaI4gUpp4amaTbl8xeI6rfCIoNqZXfAk1p5Ps/Ct1Hz6Jrdd1oLoVpIBA47HEdx6ImDNyCUJjTqfrtZ8OHnMEG1FtXsrGn026fSWaK1ysW1rFxXmpjoO+QYLgyBOQloVQ/v3RT6aVpS0xdC1LPL8Ts5Q8AiiJxb8V3TJImhkEYBN2dGliYvHbnmWszewDQEXh6pqTWBdpZuyXq6nZE6L9hn56X0xQe3mY8CV+EjJL3MiwO99Dv5mmP5OmQ49zdc1JnBGaxRPxDWhC5czwLMq0Q2PxAVJGlqw00KWBXWj4Ek62faOdUV8sQ0HinlqNokq0kBvf4pEkX9hJoT2OFvaQ39MHQuBoLKP8I3NQnDYUv5PuX71IoTUGgLQkQnmTPD6KApYku6mT0Iem0H7942iVPhS7RnZLJ5FL5iBzBlamQPyJLUSGhQmdNoVdlsFrRoHnenr4ZqAGgBcfi7HoxNCgUOxnx+sZjr+gjE99p9j5ImDEODeFgkVZpY1jzwnzsy81k80UVeCx23o569OVXPHTBiyjGPa6a3OOQLntkCCg3ZuyLDo5CBQ78romJ31dOi881E9Xa7ETifcZ3POLLs79fBWvv5wkXGGjfpSTFY8JZh19LoVCgd3rJKmgwu5NMV56rOjotzsEF32lhu3r05z7hWr8IRW7U5BuMWia5MZpt7D2VRN9bBOeD6n0b7uP4MjjcVdOJbb1XjRXGe7KKdj99RQSxXQe/dsewNewkMjE8+l49UeALArCG3auc5WPI7brb8R3PwnSwlMzi/DY04luvY/IpAsJNh2H3VtNtm8bznATnupZCCnQdIGR6cMdGUuu93km3XAkUhok9j5AsGkpztBIsj0bcYSa0BxBNF8NtYuvI9XyMjZvJZ6q6Rj5OJo7QqDpOKRZKIaQKRqxXY9Tu+BrJPY+h2UWCDQeg+oI0LflbsrGn/2Ov7d/FolEVZyY5lBTpSJK+amgJBb/NuJGkldTu5mo1uN22slKHUta5KQ+KBQAJhZ/ia7gGP8kftT9Vy5snM/cm5owQpCQOdJWnl3ZLmyKyldqTuDnnU+xLd9Jhx4jYWY5NjCJw/3jAAioTmxv4pCL6xnWZ1u4tWcZealzvG8KRzw7lqpjPaiaXjRpZHWsrEH5JXPAlHjnNeJb0ETbtX/F6C2O2G01ASo+Po+2b/2N4IkTsdcEye8sppVIvbKH4IkT6fq/5/f7c7EPC4Mq8EyvRzg09K6is9boOuBYtxYYtF/3NxSvg7IPzyDx/A588xt5QuZZkShet0+YVNbZWflUgsOOCmBzCDRNMOtIP7WNThJRHc2msHdLhj2bs4yYUNz/unNHnr1bcjRNdPPJ6+v5+VXN6AP9wOrnE9SPLKezOc8z90U545OVaDZRnBUcJBj1oxxkkia1jQ6cboW9W3OMmeYeXD2+n2zKQlGK529ckSRSY2P0VA97N+vc+dNuZh/lZ+5xAV764QEzSyEvefyOXpaeH+HPN3ZgWjDvuADDxjhJxU3cYYv2Hz2LrdKHUMux+xtwlo2l/eXvsf8hx/c8TdWszx6YXUgTLBPNXUHd4d8h17cdR9koXJFxtPVuAWmieSpRNPegMxog3b4SV9k4/I3HApK2l7+Hp2oa7oqJFJLttL90PQ1H3UD/9vvJx/biLp+Er2Eh8T2/p2zcGShxO0a2D0VzEmg8FiMXQ9EcJPY+h3/YYsxCEiXvoX/HowN7cIPQXCAtvLVzcNfMRk+00N78At6aWah2L/HdT+IfvoRU8wuUjTvjHX9z/yx2NcDI8Nls7rll8Fi1dyGKsP/br/1B4F2JhRDiTCnlPe90rEQRKSX78v3MlI3kbAZ7C738oqs4vf1U5ZGHlE+aOYY7ItTZw6zLNDOrvAkLiYmJS7ExylnJivRujEwzl1cezeebb0cVCh7FgVOx4VPe3parY/Kr7mcxKfoC7FLDHlLQcu1kXjNQgy6sRI6WrzwIsug7qPnqMehdCYzeNMKm4p03AsewMFbWwDWphvjT26j58lEIl43MmhYUtx3H8BB13z2Z1Kt7sFX4cI2rQu9KImwqjuFh7A1h1KBrMALKt7AJaRjUfmMpVs4g8dx20iv34Zs7goPnR4/l+vn8V6vRjeIiuRMvjFBZ7+CVx2Osfr6Ho88K88pfY4ObHK1fnmL7ugyN492seCrBiqcSLDgxyGe+X0/b7gKvPB4nXGFDUYoZai/+Sg2aXaDnJSdfUs7fbu+lkJfUNTk45uwyOpvz2J0KDaNdJPsNTENSM9xB+94DguH0KEgk42Z66dyXx+FSURTJ3m3FMtMX+950J77+HoNkzBzcxe/Z+/o58/JKnr+/n7M+VY7UTQqtMey26fiHLSG++ykG1RgG9r3uwuatRk914AyPQmpOWmSOarzYgw0oig0pVOoP/y7pztU4Q01kh/giimT7tmAPNSJNHV/9fJL7nhs0Rbki4zELadJtxdeJdBdmPkZk8kfI9mzE17CIvk134R92OF1rfomZi2P31RKZdD6x7Y/gH3Y4qbZXcUXGDYrF/sWFrrKxOIMj6OnfiaVnBk1mZRPPI7HvBVBUQCClhfg3jvJVxUa5ZzpznT+gN/M6fkcjHlsNDi34b7vmB4l3O7O4CnijMLzZsf9ppJREjTTbc52Ylkm1N4gNlZ+0PTG42Mqh2AiqbmLmgdxDi3xjWJbYynGByUxw1vJUYgOPxNYhkdTZw1xZfTzT3A18s/0Bzg4dxjWRD9Eu+rELDZvy1h9h2szRWUigKcqgUADk1ALBKXZ6fr2PyKULUOwKzVfcN9gHyYJJ962vUH7JHBSPneorjyS1Yh/JF3fhaIoQOW8WHT98mu5bX6H6y0cRPL7oQM1u7CD58m7ck2vwzGogvaqFnlteLlb6LDhGRqi4bCG9v38V3+KReOeOILu1C7XSTnrVPtIr94EikLrJqV43y1JpvIrCp0NVvPxYjJGTPNzx4w7O/1IVzz0QZdva4jOM1Nh55A9Dnf1bVmU4/JQDTsnlj8eYc3SA/h6dI88IEa60ccu32ghGNE75aAWmIXj2/n7qRzr43A0N5LMWqia4/1dduHwaIye52L0pw+R5Xlp25DjlY+X85f+66OvU8QZUTr+sgmCZjU2vJRk+zs221SnKqu1MmO2heVsWVRNoNgWPTxkUBiimO9+zOTuk7TvXZwhX24j2mqhhN2Y0Q/fPVlF1zQIyXWsO+ZwVzYXd34CrfCL+hsXEzBwBM0fXS98dzATrrp5JYMQxZHs2ku3bQmDEMYfU4yobS//mv6B5aykbdxaO4AgynWtwhEfjqz+cXE4bkkQw3bGa4KgTsXkqSTS/TNmEc8j1badi6qWo9gCWZZBqfZFk83PkoluLa0IQ+IcfSWLfcyAlvvoFqA4/Vr7o34huuRtpFvDWzsERbKJv052ERn0IyzQwcwk0V/Atv+//ChxaEIcWxOcY9q7K54woUppoihub+u7XOH0QeVuZFkIsFUL8H1ArhPjZQX9/AA4dJv2PEzXSfKPtPm7qeoIuM8HeXA85Sx+yKvf23pf5YvVSjvCPY5yzhosiC6iw+Xk8vp4qWwAdk4dja5GDsflR7o+uIjzgi3g8sYGI3cc4WcuLqW1v2g4oCtf6TAvf7Xi4OAMRB8xTUSONYheEzjmMxHaJ3q+DNdRYr3cn0co8lH9kDqkV+4j/bTOF9jgI0DsT1FxzHBUfX0DHD58GRZBavoee37xCbnMn0bvWkN3cSf8Drw+pM7+zF63MQ/XVx2Ar97Lvc/fS/fMXaP3mX3GNq8I9pYbwWdNJLd+DbUsXP66s5LuhCOufTVBebeeJO4sjflVV2L7ugNhKS6KoQx2gQjAofqEKjZMvKUcCY6d7iHYVyCQt4n0mS04v7mdx/y3dTF/ko2mSm1za4p6bu9izJcucY4OUV9t46dEY29dliPUaBCMq3qDKCRdG+Pi1tVxwZTWGbtG6O4c3YKN+lINn7u/n7pu7EBQTFRq65IVHopz3xWpGTXYTqtCYf3yABccHWf18YkjbKxvsxHoMnB4V3xkziya8zgR9t64nNPZMDk51obkr0NzlOENNYBn0bbqLgLCjb31wUCgAMh2rUDQn+UQL2e4NmPkEwVEnIxQbCAVf/UJsvhqyvZtJ7ntmYOX1FuyBBgrxvbS//C3MQgF348WDdarOEGYhg9CcuMvHUUi04K6YRCHVQ6Z7A6rNja9uAaozjJ7qINW+Ej3Vhd1fR+2Cb1C76JvYvNV0vnYTeqYHZ2QcNfO/RsNRNxAaewa56DZqF34Tb8NCFFVD13Ty+tCFne8VplUgkdvD650/4dWWq9nR92dyRv87n/gB5p1mFu0U95k4meK+EvtJAlf8uxr1QaFfT7Ez303cyDDb28Rr6V1kzQIVmo/ZnkZsQkURCnahDQrG7nwPD/ev4eLIQpYlt7E6vZeN2Vamu4dRafOzM9d9yHX25XuxkIxwlFOh+bDZNDRNZaEYQ0LPIITAwCSgugedcUkzx0P9a0hbeToL/Xy5+gR+2f0MPUaSJeooeu9YRfDU2ez9TRtjvxpBK/Ng9B2IJvLOHoawqZjpAva6IDXXLkVRFRLLdtJ312ocjRGCx41DsWtgSpLL3pACwnyLVF2mhVBt9N6x6kAZS9J7x8BmSQWDlq88RPVXj8aZ1UlFdXZu1Fl4UohoV/EZphImwYhGf0/x9cYVKeYtDbLswQM/1plH+Nm9OcPc4/zMPTbIX//UywO39OAPqZx5eSVur2DKfA+mKXG5FY49J8KDv+nG41eZeJgHu1PB7VPo2Ffg2YFFfD3tOi072vn8jQ3E+wwq6+1k0xamIckkLTIpk7pGJ7+6pg1DL95bPmvx5F1RGse7OPzUEMseijJigot5SwOU19pQVEHTRNdg4sIR413UNTnZsylLX6fOti0uDr/mQ3h9gKqyY0eWUUf+iMTeZ7F5KnBXTKLj1RvRU+0oNg9Vh12BmenGzBzYVGnw0ecTRCZdSP+2+0nse56KaZcSaDwaI9NLpmcjnSt+XCwoJZaRI922fMj5+b7VOMtnFV8IdWBhn4Pe9X8g11dcL6PYPNQd/h0Um5e+zXdh5eNUzfosZj6O4vBh99aQT+wdEsGFouEIDKP9le+jp4qh1HWLr0dzhhCqAyGgObOMttRzBBxNjI6cj0340QY2Znov0M0kq9q/jWEVZ4WtiWcBhVFl52JT3W9/8geUtxULKeXrwOtCiDuklPrblf1fI6qn+HXPs7QVYnyt5mS25tqZ5K5nkqseh2LDkBZr03uZ6h7GFVXH8cfeF0mYOco1Hx8um4slJa+kdtBWiDLV3cDFkUW0F2KMcEQQiMGZBcAUTwMaCl+tPpGEkeOl1DYaHRVEbF4safHnvuV06QkW+EYzzzuKoOYuRmApxRj373Q8yuUVR3JNzYcQQuCPCXr6d5DvKabpbrk7QdOXjyH65xXkW2O4p9QSPm0qrV97dHBdReQjc8hu6iiaiiiGxRb2Ran6whIAKj+1EDOZJ3rPWvJ7+kgt30P49Kl0/+qlwftwjirH6E2TuH8dVZ8/gt4/rCC/u9ipmbEsRl+a/J4+/EeOwV4fQrhtCDs0jE6yZ0uW8TM9rH0xyatPxDjhwgh/+b8u9ILktWcSfPK6OkZNdrFzfYbh41xUNRST9L36ZJznH+xn/vFB/CGNlc8k+NOPOvj8jQ0sPDGEoUs8fpXnHuyns7mA26ew9PwIj97WS0VtBc/cM3S0WMhLOvblcboVchkLRZGoDkHTRDerno3zu++0DzrIy6psqFpxc6Tdm7Nk0yZzjwvSNLHoY8qmDQJlCodf1MFxFzah4ELPS9IJk+mLfdz3q27yWYu8CUedH0TTVUIRKMT3YWT7iiutU51UzrgMU0+jqA6iW+/DVTsHR/2CA3tfA0K1Y/fXYubTVMy4vJjV1eYDAcmWl0jsPRAy6q2bd8j+FAAYcWwuLzXzrkaxuUi2LscVGTsoFACWnia6+W4CTccSHHEUuf4dA1u4ChK7n8LfeCyu8okER51EsvlFNFeI8Lgzie16nJp5X6XluatRHT4kElfFJAwMtsTupCtdTFeSM3rJ6F1Mrf4SGv+YWOSNGKl8MxIIOJpQFTfK3xmamzP7BoViPz3p1YwInfK/KRYHMVsIcS0wbOAcAUgp5bsP6v8vIqYXE769nmnhgrL59Bkpqm1BftP9PB8tPxyB4OXUdrr1BCOc5dTZQ1xeeTQAQdWNDRULi69Wn4gE+vQkWatASPVgWRZfqDqOP/S+SMzIMM83iqX+yXTpCdJWnoDmYqp7GDvynQQ1N6pQODM8m7v6lvPH3pcwLIPjQ9PwaS7OKZvLdW0PIZH8vPtpRjjKuar6JIRRIHLBLCwhUN0KQlWwsjrO8VX4Fo9E2DX67lw1ZAGeoz5E7x9WDHkOhdYYUjdpufphMCVamYfKzy6m6+cvgCJwjq2g5upjSL3WjL0+iKMuSOdNz2PGc+S2d1P5qUW0f+cJALyHDSe7qQMrqxM+YypSQDYrePIvvcw5JshLj/Wz4IQQqibYvi5N+948n7uhgViPTqjCxp7NGbwBjbEzPGxelS7maWpysmF5ilTcZO0LST5ydQ3b1mWI9xlk0xYP/66HUz5WAUDnQJrxTNKiv0fn6LPLaNuTI1Su0dUyNM7e69fYsjrNsof6kRLKa2xcfFU1E2Z72bctx96tOeqaHCw9P0JnSw5/WKOvU6djX4EHf9PNF28ahmVJnG6VpLmerckf4bePZLLnU9g0L2GXoHNgMyKnW+GIM0OsfjLFvKN8eL0GCh7S7SuQRp7I5Atpee5qwEKaBYRio2zqpXTJPD7rXHLNz6M5goTHn400C7S98HWgGIlUt+jb5Pp34K6ciiM4gmzfVpyhJlxl4wYE7yBbnlDx1S9AEXnyqQ4so4B/xFEUYnt4I4ozgJlP0Lbix4PnB5qWEmg8FtVdTq53M4HG44qilGwjuuVe8rHdWEaWmgVfR1HtGLkEHflVRNxTB4ViP8nCXqx3WPsgpUXBSGDIHCoaViyN4vVhaSZZo5usEaXMPYmezBoMK0O5ZzoCO0IIHJr/besGsCuBQ465bVUo4r83wPTd3tlvKZqdVgPmO5T9r8fAwhjInFljD5Iws+zN9zDcUY5TsfG9jkdoLURREBzpH8/32x+lTS+OUOvtYb5SfSLNhT66CnFmehsxsfh97wvsznfzw/pzqNICXFV9EjahogmVVj3KQ/1rKEiTo/wTqLD5abRX8MXmO5DAYZ4mzi+bz3ll81GEYFu2nYjNR60W5MaGc1iZ2kWVLchEZx3OtETaNWQ6j+ooMOn75ShOjejda0k8XfSBhM+ahpkYupbBTOdRQy7M6AFfAaqCldMHzUlGX5rofeuovvJI8nv6aP/uU1R/+Uj8i0fS/+B6en934Edv9mcHo6ScYyvxzhlOxw+foebqYzCTeRSPHRlLUchL/nxjBx+7thZVFSw4IcD0xT4ySRObHSI1Ngo5ye5NOSrq7Dx+x4G02sPGODn7M5X89vriaH/18wnGz/Tw2rMJ7E6F7nadRL9BpNrGqKmuweimO37cyfEXltE4zkXtcAd7t+bIZYqf96Q5HpxehecPMnn1tOs8c28/Ew7zsPiUEEtUQU+7zn2/7uaCL1WDlPhDKppdMG6Gh23rMjgcgvrRTjzKeJq8l1LvOIzun7xAbnvRUe+eXseXfziXnGqnqzvLiw/GOfx4J6rbCbIad9VMMp2rSLaNpn7J90jseRopLdwjjqJfVQmJAGrdfMK1c7HMPJmu11E0J7ULv0l87zJc5ePJ9G7GKiToWXsL3vpFBJuWFjPCCoFi91Az/+vEdj4KikZo9Glg86IqOVyVU1FUG9Is4AiOoHrulwc7fAB/w6IBk9aB2XF81+MERhyFkCaplpfpXvOr4r4Xk85HDMyAC/G9qDYPrS98E/+wY6HGjRAKdtVPwTzg11GF401Xhmf0PiQmqrAVV6FLg3huJ32ZDTSGTyWlN7O7+0H89kaGhZayqu1askbxee/ou4NZtdcO1GthV/1vG3mlKk5GhE5hT/9DgMSmeBlb/pH/6sipdysWcSnl39652H8/UkoK0sCl2BnuiKBIhVHOSkxZjk0oJMwcrYUoABPddWzKtg0KBUBLIcorqR3sy/dybGASPXqCZcltbM11cJiniWXJLWzJtnNKaAa39bzElTXH8732RwejmbblOvhS1fEE7a7Bn+KK9C4ujixkW76Dn3U+iYVEAJeWL2aBdzSnhGdipvNkVrbR/sDr2IeFKPvwTGKPbcQ9pZbc1i60yIFIjvSqFoInjCe78cBq2sSLO6n46Dw6bnhm0BledvZ0Uiv2Dnk+hZZ+zFSe1PK9RM6bid6Twl7pL4bgOrRievMBIVL9TiKXziWzpoXeP75G+cfnoQRc9N3+Gs5R5XgOG8bik0P87fZehBD85IvNQ7Y8XXhSkDnHBCjkLGYc4eeOnwxNFbFvW3FUv3+/CVUTCAXO+FQFO9enGTPVze5NWRxOhdFTPfR3G2xckcLjU/GHNExTUshbXPr1GjIpE19Iw+VR3jS/VE9bgZphYRJRg+2vZ3nhkX6WnB5m9+YsH/1GLb0dBfRCcRYikSz/W4Kn7okyea6XGYcvJv3qjkGhAMisacV/RC/b+gM8/LuB9OeKxDJSqDYXkYnnYY09i2Q0RtJ00dwwnzrNTdLIkipkMFUX5VKlkO6ia/UvCI85FZu3GsXmJdh4FKrDT6Z7A86KKSSbXyIw4kg6Xr0RMxcFBKGxp+MfdgS+hsMxMl1kulbjrVuAmUuiucrI9W2he80tSDOP5opQNfvz9G9/GE/1dBTFhpmLvfGXg7QMel7/PdmejQDkY7vpfO3/qJj2CTqWfx9XxSSEomEZGXwN83DaDaLZzYwuu4BN3b9CYgKCUWXnonBg7YMlTXJ6Lzv67mJY8ESE6iGZ34fbVkPIORq/s5Gc0YumeGgKnY5upejNrBsUCgBT5mmOP8nw4EmYVoGuzApC9rEoOTu24KFRTg4tQENgKbX+JehmCocawKa+84zkg8y7FYvnhBA/Au4HBn8pUspD4/j+y+k30vys80m+FD6GL1Udz8rUbm7s+hsFaXC4byxLg1MGywZUF71G8pA6eo0kFpJ7+1/juMBkTg/NZJSzkiotwNZcO1tzHTwaW8dnqo5mVXrPkLBXgJdS2zkvPHfw9URXHXmp8/ueF7AGJEQCf+x9mWnuYThVO4XWGF3/twwA27AQ6dXNZDa042iK0P/wRmqvXYq9LkihNUZ+dy9WpkDN144l/uQWVJ8T/5LRqCE39d87GaM/g+p3orhstHx1aKI49+RapCEJnzkNkBj9GbCrVHx2EWZ/FitdQPU7yGztwuhLk93SiXNcFd4FTcU1GYBy9jiyTgXLA+VOhQu+WMW+nfkhQgHFdBwTZnlo35Nn1BQ3ypsk6LUsKK+x09eps+jkEKoG0U6dbWvSzDkmwG0/6KCvQ2fa4T6qGuzMPqoWy5T4QiobV6Zp351n/SspfCGVUy4tx4rY8Ae1IYv35hwTYNYSP9vWZghX2Jg4x8OE2R7adufxBVUSMZOeDp2Hf9uLN6Dy8WtrGTfLzZT5Xu77dTcTZ7kxdx7qkM7t7GXGCZXkMkH6Og2QWRQErc9djd1fT3PyUpY94uOi66Gu0E9qdTFU1uYqo2z258inuiikOqk//DoS+14g07kWT80s4rv+Sqp9JRXTPkE+vpfqw75A3+Y7B4Si+O3p33ovvrr5mHoaR3gUNk8FWCZoDsCie/WvBnwRYGR76d3wR8omnoeRSyA0J76GRUP8IDZvDUK1DwrFfsxcP4rmwNewCF/tPCwjT/3hP0RqTvqzr7G55xZq/UuYVXctOaMPv30EimLDqYWQ0kI3cxgyR7LQTI1vMboV57W2bxJ0jWZ02Xms67yZVKGViGcKI0KnIIRGb+Z1PPaaQ563aWVoSzxHwNmEUOzkZQyb6sXM5bHZvajK0MV5Dm3AFGWrOPSL91/IuxWLwwb+PXgDA0lxr+z/KQrSwEKib+1FnVJBRhb4UGg6lZqfkOYFKWl0lLM738OWbAeXli/mmcTQ7KMzPCP4VdezWEiqbUFiZpph9ghCwFzvSGJGhmeSm7m1ZxnHByYDRevxaGc1LsVGpc3PjtyBUfRoZxW6NImbQx1uBWlgYCEti8SzBxZhOUdESK/ch6MxghZyU/PVoym09FN24WywJMKmovoc9P5xJY7hZViZAu3fe5KyD8/AOaaSvrvXoLfEcE+to+qzh9N7+2vo3Uk8MxsInzWdxLPbSC7bia0mQNlZ0zG6EsSf2DroHFd8Duq+Vcz5Y68Nkt3QjmfWMOw1Aaxsge9YT2IV4OvWyWRfTJFr0Ymcfmgit7JKGw6XwjP3R5k4x8vik0M8etuBTnfkJBeqCjOX+Bk9xU13W4F81sLlVVlyeph00mTGET78IY2KWjuVtXbSSYt4wqBtd47q4U6eurM4qk/2m6x9McnoqR5ad+Y494oqHr2tl0iVjaaJLn5+VcugeEya6+G4cyP0tBd49LY4iio48owwp368nAdu6WH5E3FqRzioGqZxydU1tO7KUXPabGxHTkLf2EL60deRBRP7zAZ6CwYzj/SiKjaE1UW2b+tAmgyDmjKNsy93E3aatL1yM5ZeNBEa2T561txCxYxP4SobQ8vzVw+G0cZ2/43a+V8n27uFnvW/p37xd9CzvRSSh+4vpme6yXS8hsN/CtLUyfZuwUh34q2bNygU+8nH9iCNHD3rbqF20bfw1s1Dc4aLKdL99QRGHEUh2YHNWzMY8QQgVAeaK4x/2JEoDj9WIQ02B2mrhc5UMRqrLfEsbYnnsKs+RoROo9q7kKzeT97oxVA8uFUfljSxKLCz724kBk3hM1jT/v3BLVl70qsBQbl7Ol57PSHXGFThxJT7za2CGv/hbO39A23JZ5hT/z229vweIVQaAktR884BcRDk9D5smgdN8fxP7QP+rsRCSnnEv7shHxRUoVCmeXGNqqDDSLE928EsTyOthSg/736akOrmM1XH0F6I0aH3U2nzc0XVcTwQXQUCjg9MYVu2g34zzQVl87ELjeWpXTwV34gAjg1O4rTwLJYExuMQNlyKnenuYZwSmsGOfBdpM88i3xh257qxCw2JxK3YUVCY7K5nfaZlsK0N9jI0VNKygL0+OHi80BbDNaUW1/gq+v68ivyuXpxjKyk7axrdv11O6NTJZDd1kN3YMcQUpQScmIkshd0Di7Je24cZz1J2zgzsDWGEppDf14drfDX+I0aDqpDd2I69OjAoFADWQNSUc0zFoNM89shGKj93OM5J1cxIDWeuNpqeHybINhcdmaHTQsXQ0wFfwfzjA8w+KkAianDJ12qJ9xmMmuLmoq9Us31dhoo6OzUj7NgcxbTktSMc3HNzF/ms5LjzykjHDWpGOBk+xkUyZpJNWax/JcmcYwIYuorbq3DbDzowD5rNeAMqe7dmKeQsfGGNC75Uhcurctv324ekCIl2GbTvyR+0iZLk0T/08vFraznz8go2v5ZGUeCpu6N84lu1tO4ucPfPuzFNyfRFVSy5dji5Xe2sdAp+29nFlTUVjPcIRAGyPRsQNh/BxmMobLsdI90NtZ8YFIrBzzjZimLzku5cg6Vn8dbOxVk2BiMXJdW+cjC5oAQ0Z4jIpIvp2/gn9HRxECIUGzZPFYVEK4rmJNO5hmTLS2juMhTNhaK5sIwDgxNX+YSiYFhG0Z+hufAPX4IzMg491UH7K9/H5q2mfPJFdL72Myw9jVBslE/9GEYhhWL3YOZiZKPbyMf24G88Cp+9nmh2w+AzLJgJvPYapBSk9RYyepSIewKZwj589noUxYZLqySrd6Ep7kP27u7LvM6w4Amk8vvYGb2bGbVX0xZ/DkPmqPUfTl/mdbJ6MQosZ/TRm1mHQKUxdBq6mWJ715+Q0mRE6FRS2WYKZpJa3xFYsoCqOFCFG039700NIuSbbJ94SCEhKoHvAjVSyqVCiPHAXCnl+2ZTopkzZ8pVq1YNOabrOq2treRyubc46+9DSomFxJAWqhD0GxkUIQioblJmDl0e6Fm8qgO70AbKm2ioKEKQs3RyUset2NGESt4m+aV8hYxyYOHeV6pPYFe2mwZnsbOvd4S5ru0huo2ik09D4fr6MwgqbiTQUeinyh7ExOLe6Eo2Z9tpdFRwfmQeUgpu6HiU6/wn03ndE+jtcYTbRsMPT6H9u08O2b3O0RQhcuFsjHgWx7Aw7d9/CqOjeE1bTYCarx6N0Zum7dtD3VeOkeVUXraAlq8/iszqOEeVE/nIHGJ/3QQWeGbUD5rADr6Wd+4I+m5/bfCYrSZAxWULiD++Be+CJrJRF3tu7QcJDV+pps+0qG5wYpmSTSvTvPzXGKpW3M96xDgXD93aw+JTQjjdSnE1fZcBQuJwqviCKtvWpqltdNK6K8/Y6W7u+1X3YI4nm11w0VeqScYMKurtuNwqqbiJaUhivQYvPBzlvC/WoGoDe34bEO3SqR/l5FfXtJKMHfjsDzvaTzZtsf6V1JB7nn98kLomB6EKjft/3UMhZ3Hm5ZX85ltDR/WnfLSccbPdXNayD0NCrcPGdbUeOp+5EsvIUrvwm3Ss+DFWodgZ1sy7iq7Vv8DMH/RZhpoIjT0LI9OFzVNBrndrMc25t5rwmFNJdazBGRyOkY2iOHzY3OUomgM9G6V/6/2Ex56K5qlEGnky3evp23j7YN2e2jkEm46ne/XN6OkuXJHxlE04h44VP8ZXvxBfwyJan/8a9Ud8j9Zl36DqsCvI9m4m17cNb91c3BVTMHL9qHY/QoCRixU3T+rdgqt8An0b/0wh2U7t0htY3f5d0npxJlLpncuYsvMoSJO90btpDJ+GaeXpyayhNf4UmuJiZPhsbKoHp1bOK81fGvBzFPE7Ghlf/jF2Ru+hN7MGm+JjWPBEKj2zaUk8SV92A+lCKy6tgtGR82mJP0VT6Aw01cXylq9wsMN+du232dLze6ZWf5Hm+ON4bNWUuSfjspXzQUMIsVpKeei2l2/g3Zqh/gD8HvjawOvtwF94n+9g19rais/nY/jw4Qjxz6U4NqVFztKxCw1dGmSsArVC4BQ2spaONrD4rttIIAfMS4a06NLjSIpmpLDmwaM4MLDQUOk30iSjMY7vHc29zgOmqjXpvZwanskP2h/jsoolbMy2DgoFFKOxHoiu4uTQdHbmuhnjrOLpxCYCqpuzwnOQSAqWgW6ZCGCCu47Nth7Gf+NYjP4MNq8TK104ZJvT/K5e1KALLeIlu7mDyk/MR3HZKXTGcTaW0//oBnzzGnHPrCezamAGoyqUnT2d+DPFSKrIBbPwzBpGy9ceKW6WpAiCx49H2FSkfuCH61vYRGb90E5SmhYybyBzBp03PkPo9BmE55YRfSVN9KF+/GeGyaQMElGTJ+48EPV07y+6+dwNdRx3fhkP/qaH3vYCw8Y6WXp+BEOX9LQVePKuXs7+TBUP3tqNogpqR9iHJAPUC5KX/xrnmHPCOFwKyx7sZ+XTCaQsrsC+8Mu1tO3NsHZZmjHT3Iya4qZ1d3ZgP27/YArz/XU1jHYeIhZVDXZeeTzGqR+roLu1wOipbvZsHjojgGIW3ZGTXZweDrFP13EoUIjtwTKyKHYfZiE1KBRQ3Mu6cuan6Vn3W/R0J47gCCpnfpr+nY8THn0ysR2PEN/9OACFRDO56HZq5l1Ftm8rdk8l/TseJdtTHME7w6OpnPU5QNL24rcJjT6lmJrjINJtrxIYcQw1C64BaaFne0m0vEjZuLOKqdGzUSqmfZx8opWKaR/DyPSi2HwEmpZic5djmXkUzU3z01+g4cgfEd/9JKm25dTM/zqaO1KMZDJzGH0tTKm6AoSCgooQGg9E7+ND4dOp8i4gmWsBLHZH7wcsCmac9V0/Y179DwHBuPJL2NLzOyQmNsXH+PKPkjdiNIZPoca3EIcWwaH6SRb2YUmDEaEPYVO8ONQAPZm11PoPpyP14oCvYuigujXxLNOqv0xPZhUR9xRyRj/d6TXUeBdg+zu2Nv4g8W7FIiKlvFsIcRWAlNIQQrzvQ2hzudy/RCiA4uxAFHMsxc0sXtVRHNUflH7AqWhU2PxICQJB1ioMfsUCanEW0FKIIimG3OoYRMoilHd3DLlWk7MSQ1qMc9XQUogOmbHspyBNNmfbGeYo42ut9w46wR+NreWyyiP5dtuDzPKM4MLIAk4ITmVTppVuVx6324E9LjASORSPHSt9IF5dDbmx0gVyO3pwjIwQe2Qj0rCInDMDKSWhEycipSRy8RzMkyahdyZwjqkETWBPRGj40GSMjgRGIocsDLTZkvQ/vIHqLx9F9L51mPEs/iNG4ZnRMMSPAhA6cSL5lhj2+iChUyfT++dVlB1XQ/SVNKmtOWpMi0zIxuuPHJryYf0rafSCxZR5XiI1dtxehQ0vJxkx3s1z9/ejKALLgllLAvjCCtnkoTPqbNpEUYr+iRVPHRDn9j15XnqsuLDvud4Y9/+6h+mLfRx1Zogn7upj/Awvx18QYeuaNBW1NuYtDaI5dDatdLJnc3FWO26mB7dPpbO5QCpefDYOl2DYWBcwdOFf3UgnXS0FpgfciJdTjJrqQqv1o2gu3DVHYGpNeBqOJdP2PNLMk+3djOaponLW55BmFj3dRXzPs4RHn4Q0c6TesBLbzPWDlOT6dyOEGBQKgFx0O8mWl5CWTmjMKViFFJojiP4Gn4aiOQfS0gtyfTsQQiUb3Y6/YRHZvh146+cjjQy9G/6Enu4qZpaNjKXthWuR0iQ06mQajrqhmHZk5PF46xZic1fx8O0Gk2ZdgS+yEs0VAsWL0xaiYOaRVoFTyz6MKuz47PVIUYyCWjDsp3SnV7O99zZCzjEUzCTru26i0jOb2XXfQhVOFMWGQKEjtZx9sUeYXXs9ihJiV/89dCSfB6A18RTDgyfREFhKmXsKK1uvIeQcS7lnxiHfFbetAiEUvPYGLKnj0iK4bOUYMo2p5xE4cNj+u0Tj3YpFWghRxoC8CiHmAO+PJC3vwL9CKKQsmp4EoEuTrFWgTPPS9YY8NTnLQCDoMeIoKIQ1DxYSm1DxKk7SVo5KW6CY+kMW69JUFadiG8j2I1jsG4tHcWBKC6ewUWUvRlz4FCdJ64A57YTgVJoLfTwe2zAkWqrHSNJvpKmxBclYBfKWQV4ahGxevtV2P9fXnYE0JPEnt1J+8Ry6b3kZqZsIh0b5R+bQ//AGAkeNQW+J4WyKFMVAEaCCNCRCU7BSxf2yFYdG4XevMuym03GPqSR61xryO3twTaym9trjaf9ucc/u9Mp9KC4blZcvxMqbGH0pzFSOyssXkX5tH4WOBL6FxWiovtuKPozkS7uo/MxicGjUnOInMNGBvVzhJT1NbaODDctTlFXZOPqsMOW1NpwelXUvJvnrn3oxzeLeE5/8dh09bXnOvLwSh0vhlb/FWPFUnIu/WoM/rOL0KOTSB57d3OMCbFubQbMdGl/fvifPxpUpzv5sFTd9qZn1LydZcnqYtctSrHshRdNEFyPGuUgnDIQtw7r4VZx02ZdQzHKEgHi3yu03djJ/aQDLkpz/pSqqGxwIFeYc62flUwksC8bN8FDXVExxcccNnSRjJiv/FueKG8oJzfwRyx4psO+OFI3jlzL/mGOJv/4tLD2Dr34+3atvppBsHWyzr24eIFGdwSEmquJXTeDw1VBItvNG9GQrQrXhLp9AsmU5ZRPPo+3Fa4t7TwDuqpkoNjdgYeRTSGniLp+A5qki2fwizlAjZqaHjhU3HHCsb38IaeTx1s0lsfcZolvvwe6vo2/TnRj5GLXzv0Eur7L6uSirn4OPfWMhqktFCoWs3odl5UAodCWXU+aeSn92M9v7/gxIFGFjWvWXGRY4gZBrHBu7f43PPgyXrYJ4bifx3B6qfIextuNHTKj4JLNqvo1NCxEzDDqSQ82jzfHHqQ0cjWGmAUl/bisjy87GY6slrRcF06WVU+1byMrWb5A1utAUDxMrPsm23ifoTq+k0jObMeUXYZgqmurEkiZSmodEU33QeLdi8QXgYaBJCPEyUA78+xPMv08wKQpF0srhVZxIipFGb+btsaTElBIdgx4jSa0thI6JRJK1dGIyg1PYcGt2KrQAUSOJJlSurzsDj+JkbXovcSPDvnwvs7wjsAmV1nyUr9acxEvJbaSsHMcGJrM7103azB8SVgvFDZXKNC9L/BNwKXY8hoOKvJ/Pu4/l9UwLRzga0buTpNe1UvP1YxE2tbgf8oMb8B8xquj03jNg5lEFtdcch602QKEzBgL671036MvwnzgedIuuX7+EoyaAd/4Iclu7iN6zhtCpU+j740qETcV/5Bj6H9lI4smB1BCqQvUXl2Cm8vgWNZF8aTepFw/s+mf0prEyBbLr21D29NLzTC/VVx7FzDIf9sM0ElGdKfP9PHV3H6mYyeR5PpomuJgyr4HlT8RJxU1UmyBSa+fBW3ro7zGYeJiX879UDQIe/3MvF3+lhhVPFctOXeglUm3n/l93c+GXDw2rbJropq9TL65fuaa2mB5if5ZeCTs3ZNm5IYvNLph1gkrB7GdX5hc0BI9jZ99fGBP6Lqd/ooJIjZ2ulhyjprrJ5k26zH4Wnxxh+iI/piFp2Zlj58YMZZW2IX6Qlt0aK59O0Ly9OGDoainQ2+nitEu+idurIYGK6R8nF9tDdNNdWEYWy8yjOUOUjT+bjhU/hoFV4f7hR4Ki4a6ajpHpGbKvBYC7cgqxnX8j0HQ8vvp59G9/mNoF15BPtGD3VoFio+W5r+IMjiQ87nRiOx4mNPJEVFcZgcaj6N/+KJ6qKUMSGQKk2lcQmXTBYEjt/kSFensnPa//hsrZXxgs+8rjWU79RATFnmRzz29oDJ3K6vbrsaROlW8+O/ruZP8HYEmdLT2/ZVr1V7CkxdTqz5MutGNXA5hWFsth4LbVUOGZiddei2kVsKSOeyD1+cEmJiklhpnAY69nfsNP6UquZEPXLxhffgkAinDg1MqIZXdg1/xkjS4MK82Grl8wt+H7DAseTzK/l97060Tc0zBkhqzeTd6I4XeMQFM92NU336Ds/c67jYZaI4RYDIyh+HS3/U/lipLFGUrKzOMSdgKqi5SZG1hHceAHYRcqsrhjMFD0URSkwZOPP8EXr/gChmly1sXn8ckrP4tpWJSpXipsAWKik4DqJmFmGeWqImZkGOeuRQEUFMptfgqWwVH+CahCRUXgVh08mdjIh8NzWJ9pHmLuqrIFOK9sHjEzw7faHqDK5uc8+3wc92vMOn4E1Dmo/vJR9D+0nr7bXyP84Rn03f4aRjSDf/HIA0IBYEqi96wjdMpken67nMilc9APSjjoXzASaZhEzp5O/Olt5Ne14Zlej63Kj31YCM3vxFYTAEUcEAoA0yJ6/+v45jdS2BfFPKjO/QibSmZ1C4W9UWzVfqx0HldFiLUvJpl7bJCffaUFPV+8887mPo47r4yqBhuHHR1g9bIE997cxfCxLo48I8yfbujkpcdiKCpMXeBj79Ycf/pRO5Pn+QiWa+xYn6WQk+Szkm1r03zo0nKeuTdKNm0ybaGfhjFOHE6F3323nf7uYqd7wZVVjJ7qHpIBd86xXuKymA8r6BpDKt+M0xYhnxMseziGN6Ay8TAvaSXPV2J3kJU61wc+jB5zECizMWKcC80m+MXXWoY8i3CFbVAo9rPj9SxSrSO69TaSLctAWrirplM1+/N0vvYzbK4wXat/ieYKUbfwmxSSrWiuCDZvNenOdaTbllM+9VLKp36U6Nb7QZoEGo8FFMqnXIKZ66dv0x3kY3tId6zE5qnELKSpmftlpJEj27sRPbOImnlXEd/9BNHn70dRHYTGnIbmihzyedrc5Zi5AzMcV/l4olvuBTgkF5XHryKt4ramTq2MtsTzWANdjiX1IY5rgKzejSJs5M0eVrddP/h+pXcuYdc4Evnd1AeO5rW2bw3W0xg6g0kVl7Oh+/8G66nzL0FTvBhWklShFb+znhm+q9n8/9y9d9gkVbX2/dsVOufuJ4fJOedEHmAIQ5YggiCKqIgi5oCIOSDmo2BGVFRQMpIZ8gzMMEzO6cmhc+4K+/ujnumZh/H9Xt7vHM55/dZ1wVxTU121u7pq37XXWvd9D/2GaYmrqVlpdgz/DssuMTZyLrassXngJ1iyTMVM8XrPrcS8M5mcuIKqlSZV2sLu1B8BUIWHxe23oilelH/BQP+/Pf5PnEQWA3OA+cC7hRDvfWeG9D8XuZdf5MAnP8qeq9/NgU9+lNzLL2JJ2zEiGpH3GB5ZCcS1ID7FRYseJqh6iGsBGvUQyaNIeLpQsS2bmz52I7964E/8840XePhv/2D39p1UbBNFKPQaaTJWCUvaPJ7dzO+HXqBgV9BRUITC7ko/YcVLWPMyaOZ5PLuJ7ZU+pnlauKHpNGwpubXtIk4OTuOcyDw+3XIWj6Q3UrJrfLvvYbJWmZxd4YfFfxK+1MfB7wwh8xIhIHDceBpvOBGJJHTaVCfFVDtWed6uGCgBF8ZQAaMnS3D5uFH/LjSV/h89R37NHio7Bkj+6XVHIFBRcI2Lk3th76jaSP24+Qpq2IOUEH3X3KOVt9FbQujNIacuMrWJxg8fjzRtsGH8DC+HdlfqQHE4Nr9SIBDWuP+XQ6y5P8P+7RWe/UeatU/lOP6cCADbXy9SLlqceF6UUsHmlcezvPxYhnnHB1n3lDORPf9ghj2bS3z46+1c/blWvAGFHa8XeO3pbB0owCmsn3tNA+e+L8HsZQEu/FAjUxcEicgT6AieQVvoJPoLa5kUfj/5QQ+9+6sc2F6me18F07Jpc8XQUDCwqFVtXnw4zcGdDiAsXRUZ9d10l0B3j06pevwKAkmwcwXtJ32D8PgzKPVvwCgN03bi1wCnoF3ofpnu528hvfN++tf9ANsokz/4NOXhrRx66iYq6X00zHkfrcd9CaG6Ub1Rklv/hOoOkZh9Na0rvujoOBX6sGs5R//98GQnVMpDWyl0vwzSxjbLJLf+kcO+FfV7RHUTn/HukVWFINBxHK5gO9ZIod7fsojkoDMdef0KC04K8c8/pigZ/SgoyKMdEaSTCjo6GvwLsWWNncO/HwUkA4VXCLjGoKCxc/gPdaAA2Je+j7B3EjMbr6c1eBIzGq+jM3Impl1iQ++3GSy+jiUNykY/s5uux5JlunJPE/VOI+Gbx/70A+iKn1mNN6ArQVThCBumylsoG0O41CBR7xQWtn2ZmHcmlqywJ/U3DHP0iuvfJd6uU94fgAnARo5oQ0ngrndmWP/9kXv5RYZ+dyey5kxqZnKYod/diY2NtmQxbqGjCYUGLQRISnYVr+JCFxohVaCiApKo5idpFrCkdAQF177MhAkTGTd+HJaUnH3x+Tz18D+ZOn0aprSwpMSWkkezGzkvMp+0WcSj6JTsGgLBJE8zCMHXuu8nfZRh0mXxpVQtgzMis7ln+BUQgkEjx609/+DahpN4IruZs8JzWBKYwN7qIK16BEuX+Ce5sao2ihv0qB9zKE/mH5touGYZ2rXLUcPeUW52AJGzZ6CGvbR/8xysfAXvrFZQBKVNvShuFbtYrVuv1q/n83sInjwZxa3hmZBAcWuOtlT6yHFDK6egt4Zxj4uDS6PtlrMorjuIGvHindkCmkrnbRdgDBcQikAEPSiKw3ewzGOTgOG4hsensO8tZkJbXi2w4qx2nvpriliTTjZpMmtZgFnLAmSTJpG4xmBPjb6DRwAt3qxTq9roHoVYk8a4aV7u/+Vog6Vy0WbXmyUSrToD3TXWPZWle08Vf0jlo9++jGJ+P3Nj3+TNZ22mLXDxoa+3omkKG18o8NTPC5xzwkk0TdLo3yh59t4k+bTFxhcLzF7m54wLQrR3qOzYUmPSbC9Br82Zl8d58LdHSIer3xuhuPd3lHrXAIKGOdcQaF9BNbMPX9NcpFXF1ziHQo8zkRvFAYTmQdG9qJ4o4IgA5g8+Q/7gM7QdfwvuyHg0d4T4jMsYevM3VJI7UTQvsRmXobpCFLpfQiguAm1LKXS/jCc6gaG3dEsBlAY24klMIzTmJGyriu5ropLZR8O8DwJQGd5Gsf8N53yeKNEpF7Jnu877b20jEFdJ9xtkUwYJ7wI2ZL7BnOaP059/CYnNruSfmd/6eXYO30W+1kXcO5sJsYuwpUHtqK7Bw2HJKm4tQtkYesu/SAwrR9A1hlR5Cz255wm4OukvvMzY6LlIabJj6LdIbMZFzqUhsJgG/zwCehvJ8lbGRlbjUsN4tEbmNN+ESw0R9kwm6plMsdbDm/2OPpam+JnX8hkipakEXO1IIakaOdz6v5c8yNutWSwEpsu3Q8r4N43UfffUgeJwyFqN9H1/pX3pCkDSpkdJWgVcQsOnuLCwURBkrTKFEZN3n+KiTY9hY6Og0NXTQ3tHOwktyKCRo7mtlU3rNpDQAuSOYlynzCKKECDgjqFnSZtFjgtOZoF/LFXbHAUUAM/ndnBOdD53D7/MedH5/DW1lqxV5r2JFcz0OucLaV5KVpWiVeV7w49yamgGZ35kNllKBISOa9DANm3ily2g64sPoUV9BI6fQOsXTie3Zg/mYIHA8nGYySIHP/o3ElcsQng0VLeOGvHRdMMJJP+4ntgFs4+5nmrQQ3lLL8O/X0vjB1dgmxYtN51C9qmdGAN5AovHoEZ9dH/+IdzjYjTdcCJ9338a37x2/As7sHIVrHwVvTmI3hhEagolj4WVNfF5dSIJnSnzfewc8YHw+BROODeKogpUlVFkOpdHweNz/ClOvyxONmVw9/f7yA6b6G5BtSz54Ffa+OCtbfTur9IxwYM/rGCZoGkwcaaP4f4aM5cGOLDjSCpIUWDcNA9/+ckA/UcBTTFnkey3KeXb2fRygZaxbjxeBUUR/O5bvXUfjh0bSqy+KoHbo3DRh5ro3lPhqb+l2PxqkdPPDzFtrpepC3xk5Q681iTmHBdk0hwP/QdzNI8JYAw8QWHf4QKtJLn1TzQv+SRIm2p6H0Obf0/L4o9jWxVK/W+gB5pJzLqS1K4HiU+/lPLwNqTpfB9f4xxUT5SeF75K+4m3kt35BJWk0w5tm2WG3/wd7Sd/k0DrIoY3/4Ho5HMJtC9D0Tx44lOPkfHwJqYi9ACKoqMIQaF3LcnNo98t20/+Fv7WJdhmifS+5wm3nklXpoZXCDKqxenXJhAYzG6+AUV4OG7MDzGsIpasghRMbXg/plXEsPJUjCFqVp7W0AnsT99fP4dbi6MJD7oapCmwhN6jCtpuNYquBBgovkbMO5Ph0p9QFTdIiVdLsLH/+/V9dyb/gM/VgldrZG33zfXVS8DVyezmj5GvHUBVXExLvA9FaLzc9RkO10JMu8jO4d8zq+ljbB38BanyFsZGz6Vs1HCpEdQRt8vDtrGWXUMR2jtqIfv/Jd4uWGwBmoG+/92O/65hJpP/cruVHKbHcBRk41qAqOqnYhvkrQoV2yCseetAAVCya5TsKj7FDUgCihsbiYpChytOTPURUD2U7BpF+8gEc3xwCopQ+GbvQ/Wi9WPZTXgVF4v9E44Zl191U7Fr7K0OsK86SLMeZoKnkdcK+5nvG8c9qVfZVelHIDgtPINrGk7gV0PPcXpkFp889CfODc/j9Hw74eYo2ad2IMsGRjlL9tGt6I0BImfPIP/8XtJ/f5Nal9Pamfzzelq/tIrhP71G7OJ5jtT4zgGqB1L4l46l+OoBZ3CKIHbRXDIPbXYsWu94ifZvnENpYxe+ee0IRZB9aiflzb0gobovSfVgCjXoIbh0HMm/vkFlh5PDViNe2r96Nla6hIiE2Lq2QLrX4qSLoqx+b4KVF9mUizYNrTq2LbFMyfIzI7zwcKZ+rU6+MIrbI/jINzp48NcDrLw4QaVkY9tQLUvizTpev+IUqjeNuOHFNR69exjbApdHcNnHmmlqd3HS+VHWP5fDF1A54z1xzJrE4z32oXZ7FbavL9Gzr8qWtUX2bi5x2mXxOlAcjlcez3LSBVF+961ezv9AA1PmjdRA/IIe+1kSnjn4RTtSsfAI0EQRy/0QPm0FPfvuGXUs2yyjukMIzcPQhjuwysP0vfI9whPPIjHzCmqFXlI7/k41vQer2E/nytuoZQ85n1Fd9L/2I6xKGmlbVI7x6JZY5SSpXQ9Syx5A816F0HxI2yQ89hQqw9spD28FoRKZeDZC81Ae3ORIoDfOxt+ykFq+l/yh51A0D7EpF2JVc6h6AtWlgDvI9v4KXpfgk7/ortfgLj8lzGkLmkhW3mTn0F3EvNPojJyFEAoVI0m2uhO3GmV/+gFmNH2IsDKJibHLGCq+js/VQmf4DNxqlO1Dv2Fs9GwU4SJZ2ojf1cbkxBX05V6hObQMIVTmNN+IJry0BE+iO/fkMb/pYOE1/K62UWmuQu0QFSOJS4kAgrI5RMDVybyWzyCxUYXHMSezSlh2makNV/Nq1+cp1A4xOXElitAxLBuJSdXKUjWT9OdfJuDqpDV0IgKBEB7c/xdwN942zwLYJoRYx2ghwXPfkVH9D4QWj2MmjxVzIxbFkhILyYCRo9UVxaVoDNfy+BQ3VfvYHH9FGvhwA4KWtlb6unrQFQ1b2vT29NLc2kJQ8WCP1EOCqodhs8RBho/pbtpQPMB8/1hmezvYVHaKnioK50cX8LfUOmb7OtlV6eep3FYALoos5KncFnaNaEdJJE9kt/CZlrMJqz4qI5o+D2XfYGXTJOf1WDky2TXfeDKpv72BHvWR+ssGjtaxkIaFEnDT9OHjMQadXHPLF05n+PfraPzgciJnTscYyONqDpF9ZheV3UP1z9mFKt5pzZR3DFDe2k950+iWTbtQxdUZxS4bdaAAxxQp889thC6cx6O/TLJ1bRGvX2H5mWF+/qVuFp0SomOyh59+vp9S3ua6W9uIN+u87wut9B2s0j7ezWB3jf3bK2i6YPGpETasyfKRr7fTtaeCy63Q0ObC5RG89GiGQ7srnHBulN98o7cuXFirSB65a5jTLolRyJl84MttpIcMmjvdGFXJmVck+OWtR9zxpsz3USvbFDIm572/gd2byrzxQg6351+Aikep116efyjDynfFCERhqPYsBzN/YCeCuc2fIuyZhGlWAEmwbRlGaRhPfEr97R8c1rZVzdL/wq20LPssPc9/GSlN8l0vjBSQJdX0HlzBdsKTzgFpY1ZSVHOH8DXMxB0eR2TCGVSzB/HEp76l6CxQ3SGq6b2Ex52KbRmkNt3hOObNuZrGBR9GWgZgYxQHSe96gEKXU+gvdL1IcMzJ+FsWER63EmyT8vAO3KEO7IoXVzSI1rSCCSHJLx4apr3BRfdwDSmhahiYssz2wV/REjyemHcGmwd+TM3KEfVOZ0bDdSAExcGfI6XFxr7baPDNozGwmKqZ5o3e77Kk4+v49TYqxjDtoVNoDizHtIv0519FVV1UzRS2rLGh79sEXWOZ1/JZIp5JxwBG0D2uziY/OiQWYc8E+vIv0hY+if3pB+nNrcGlhZgUu4xUeQvJ0iZmNX2Uci3JuMiF7M/cB1IipcCSNfal7iXgbh/p8oKB4lr6Cy8zreH9uLQwwgTX/zBgvF2w+Mo7OYj/GyJ20WWjahYAuFxw3ur6XyVQsR2pDqd91iCoBo8R8PMrbnJWmaxVomXOBHbt2c32vTvxN0X561/+wm/+8Hsk4FI0BIKKXaMsFSbpwWPG1eKKsL6wn1PDM1gdncewkafTHefx7GaatDCrI3P5a2otHXqMqxqOJ676+fXw88ccp6uWZKa3jeGRnK4EDK/g0I0P0vHVs8k+to3A8nEIRRBYNg6zWMM3r43ShiN9+2rM50iMp0tU9w5jZsoEFo+h6brllN7sJfWPN4lfMp/Ug5uOMLwBxe8wYKUl8UxsQG8KUtp45LhCV/HNakVvj1B9i/qq96QpsGIGrz5VYPx0L8tXRdi2vsArj2cxDcnsFUHu+HI39gjGPnNfmuNWh3nk90O4PAobX8iz+uoGHrlrCGnDu29sJtLg3PbNY9y4vYJ8yqJrj4EQgss/0YLHp9Qn/sORGjAIRDQ2PJdn/gkhEi0u7v5+H917qsxaGuAj32hnoKtGpEGjVrG563t9VMuSTS8XuPLTLUye66WYsxg/3VuvqQgBJ10Qra+CLFPSOs5FYnKSnYXDqwbJntRfmNvyKRRTIbXnYWITzwIEjfM+RGrHfVSSO/DEJhGZeFZdd8ksDtA47zo0fwNGoQ9vfBrFgY1o3gSN8z8IQhslMJhWdDpO+Q7JbX+hluumddnnMYoDVJI7UHQf8VlXUs120TjvOrwN0xna+BtKgxsB6H3hIG0n3IpQ3VSS29B8CQpdL426fvlDawh1nohVzeIKtuNunIGh2lj+AWzDi9et4PEYfOoySbbUh0cbx+8frzKxTVAxU0hsOsKnsq77lvqbfbq8jT2pe2gLnkLcOwvTLuHVEgyVNjBUcgSxmwPLyVR20xCYx7bBX1Ixh2kKLGVi/FICrg568y9wMPMwkxLvQRVuGgOLOJR9hLhvDjHvDFJl5yUs6plKwjcbreLh6D41XQni19t48dDHWdL2dfpyz9OVddjyZaPMpoEfs7j9Vnrzz7Np4MfMavooUd804r4ZeLQ4FXMIlxZkQvxi1vd8bdQ1Kxo9qIoH0yohpIKkhvt/ULjw7bbOrhnRhxox4GWdlPJYs+h/4wgtPw4bm9R9f8FOJlHjcVznn09l0ZxR+3kUDUvaeBVH5sOUFlHNT9YqgYSQ6kUXKgMjZi2qpnHz7d/ggrPOxTBNLr7q3cyeOcsRABRuTGnhVz1ouo+g4uGU4HSeyTvSH3EtwNmRufxH/1NYSFaFZxJTfLhVF++KLkJDQZMKJwencmlsCWmrRMGucnXD8TyS3siz+e31cc/wtrHMP5EH0s5DFFP9+DSd6IePp7J/mI7bLsAcyJG8Zz2yahFZPYOGa5Yx7HqN8qZeXJ1RElcvQeIsNtzj4pQf307PV/9J5w8uZPiudUjDIvmX9bTcdAqyYlLe0ofeGibx3sVkn99L/MI55J7fg+pz0XjdCnLP7kbxu4hdMh+pCLR4AC3sJflnx59bbwtjLp3Oz2/ur4NBU7uLS25o4uXHMngDKtmkWf83gL6DVYo5i6s+20KlZJMeMvnnH4fpO1Aj3qID8Ifv9ZNNmoRiKtd+uY0Hfj1UL26/+HCGqz/XwtT5vrovNuDIe+ypMP/EILEmh/PQvcdZZG9+tcDW1wpc/blWnvxrktMuidPY5mLW8iCJZp1KyaKhTec3X+/j4uubWHxqiHzGpHOSl/3bS8QaNcoFnaWrwgQTeV7s/saoe86yy0hpgnDjb5zJwOs/oZLajeIKEBqzktYVn6c0uJnk1nvq5DvN30Rp4A0G37hj5CiCpoXXk5h1FcW+jQhNd9jZ/iZcgVZq+W4yex9DcQUJNJ/GobsMQjOvIzpfYBuC4g6F2FIviq4wvOWXlAaOuBO4wmMwiv1kdj1EZPJqx0BIKDBKeUCg6H6M4gAy2EZBS7K561YC7jFMjl/OnuRfRqTE59IeOpVN/V/lfWd+jlzejVdvwKWER0BjdMtsuryDcdELmN74QQ6kH2RW8w3sTz9IodpF3DebluAKFKHzWs9X6p1Qvfk1aIqfkHu845ZXXI9h5pnX+jlU4WJt95foyT3H5MSVTIxdihAqinBhS0nYM5l5LZ+lJ/cMbi1Oe+gUhkubAEnVyjBQfI3RISkbQ/j0Jgq1bjTFz0D+ZRAquhpAVTRe7/kqE2LvoiVwAg2B+YDTCrwvfR8CgSkruJQQljTqdY3/iXi73VCXAN8DnsNpcPyJEOLTUsp7/zMnF0J04HRUNeG87N4ppfyRECKGoz01FjgAXCKlTP+vjvNfFZHlJxBYuqIu6RFVffQbWWojN31Q9WBKm6RZoEkPUbScukNY9dKmR5GAJS0y5uhi9ElnnMr5Z59LbURTCpwW3KptogqFqm0QUD38M7uJFcFJnBedT8muEVQ9qAguTyzn9eJ+nshuZVVkJkiwAUtIDGkQ1vykrBLf7n2Iol1FFyrvbzgRG8n64n4ujy/HJTR+MvAkZ0Rmk7NKXB5dSLCmIFtDuF0aZrpE7zefqBsbDfz0eZpuPAnvtCaCx03ATBVRQx56vvoYZn8exe+i4QPLHUvWQrWu+2Sly/T94FmiZ8+g8boV1A6lqewfJn7hHKyiQfrejQB4pjbhX9gJLhXCLmTFws5X0RoCtH7+dFL3bsS9YhIPPVIcBQYD3TWySZMFJ4V48+U8odgRb4nOyR7OvCLOq49nWfdUjlnLAnh8Sl0D6vjVEV54OE026aQOZy8LUMxZo7qgpISn7k1z0YcaqVaG6DtYZeJML6dcFCPZbzB7WYB81qJ772gDJF9AJTlgICRse63AeR9o5JHfD9Gzv8r46V7Ofm8C3S04uLPC2Kkekv2SQEQlENbw+ExWX50g0awj1KyjnGoeSQG1hU5BVRzGtFB0KqndANi1ApndD1DLHSQ+/TKQNrHpl1JJ70HzxknvvL9+DFeoHc0bBwTexhkomhfd34QQKpX0HkJjT0ZoXlRXECuvUO4yMdIKh35XxRpxCQxMUbHYhK9lIVY1SzXXhV3LIxQN1R2mNLiRWr6LlmWfITzuVLL7Hq+fPzzhDGyrSu7A07haZrC566dYssrE2MW82f8DapYDcn35F5DSZmHbF5BSEPZZmLbJ9KYP4lYdifCjSXRhz0R0JUhPfg0ePY4uAkyMXYZpF0mWNrN54GdMjl8+qmUWHMny9tBKJDazmq6naPRTNYaJeKcAEsMusHXw5861U0MsaruV3cl7CLnHkqsdYGxkNenyTkq1fnpyDskw4Ook4OogV9076lx+vZW24KkcyD6EIlR2Ju9mcdut1Kwsu5N/pmImCejjcKnhuqy6X29jTstNWHaFLQP/QdVK49dbmdvyKVxqFF318t8dbzcN9UVg0eHVhBCiAXgK+E+BBWACnxwh/QWB9UKIJ4GrgaellN8WQnwO+Bzw2f/kuf63IS2JMWjhalLRhUrJrtGsh+tCgDaSnloaCfTWMvhVN37FhUTSZ2Ro0sOUbQOv4qJgj55MPIpO0azUqQSWtEeOK3AJja/13I+N5KHMRmKqn5tazuSH/f/khqbTua3/UQBWR+Y6BWz/GP4w/CKvlw6gonBmZDbj3Y0UR85pSIvfDj3Pdzsv46zIHB7PbOLOoWeZ7GlmovQwmQRhXAzduY6GDywHWzqifvbo1Evhlf1oMT/Dvx3x3rYlWtCD2Z/HLtYYvPMlWj99KnbZQG8JYYywuq1UidLmXrREAHO4QHDZeKS0UYMuOn9wISgCozfL4B0vEr9sIbnHtpN7yFnuKz4X7V9fTdOHj6OKjvnSsY0HpiEJx1Su/0YHvfsrnH9tA4/cNcwZl8e567t9lAvO5HZgR4XVVyc47bIY0YRO52RPvf112kI/beM9o1jSh8MyJbpLsHhlEN0dJp+xeP25HJomqJQs3D6lXojW3YLzP9CA169Srdicf20jRk3yh9v66pyMHRtK1KpDrHxXjHBcd4rZ1zbw8O+H2P6682Kx9skcKy+KsuA0lYVtN3Mw8wglo49G/xJivhnkhmwiAR35L2pkVq1AeXgrw5v/AAhaVnwBgM7TbgegVhxA0wP0r/sBZtm5np7YZBKzr6b7uS/UjxOdciGB9uPQoy463n8Ao9RLR2wew88pDD5eQQ/6cXtmYFaS+FuXEJ91JZXUHoxCH4rqRnWFMMtJup79As2Lb8QTn0o1vRdv42yEopPadg+NCz6CgeF0NAGK0OpAcTgGi68xJnIOqqIzWFxLprKTMeFzcKlhZjZ+iO1Dv8WSFYKuMUxJOHQvaVv0ll4h7p3NQGEtJbOfJv8SxkTOwqc3H3PN/K42QNKXf4Hu3JNMa3g/6eoOIr6paIof0z7SCt7oX0Rv7gV0xY9LjdAePJmymcTnaqJY6yFfO0BHcBWmXWB89AIylR2UDKdm2BY6hUKtm8bAAkKesWwb/A1OJVGiKh7KxhDLO78PSDb1/rB+XYpGD9sG76AleAJVKz2yrZdNAz9mXvNnyFf3Y9llgp7x/22eGm8XLJS3pJ2S/J8R+v5lSCn7GOmwklLmhRDbgTbgPOCkkd1+j7OieefBYuR/EggobgZNp4htSpOsVSai+ervNBIoWFVsRRLRfLTqUWxsXIqKR+gEVA9Fy2lLDKs+LOn4dsc0h+ofUD2kzRJ+1U2vNOqsb4CUVRyxXZ2DgkAAq8PzODU8Aw2VVwt7eL10AHCkSB7ObORTzWcR1wIkRwg/VWlSsQ1+Ofgce6oDqCi8J7aMiPBSrSr0fPpJ2r9yFtZAnqHfryN08qRjrocW92Nlj2INS0cOof7XsvO2JtwqLZ89jeG71lLdl8Q7o4XIqmn0ff9pPNNb0NsioKuYA3mSf3wNu2TgXzKG9q+uxjYtBn/xYv2YdskBoegFs/FMbGDJaeFR7arBiErHRDelgjNpT18cYKinyidu72Swx6gDxeF4/ZkcZ74nwdP3pWgd6ybeopPsM1i8MsS9/zHApR9rJtqojSLbLT09jG1J7v2PwVEtuJouuP6b7ZTyNqqqsHRVmJYxLra/XmTLWmdyUVW44budo44HsG9rmfOvbah7XPwr3saLj2aZd3ILr3Z9nJmNH6EjfCZKXkFUPTxwZ4b33giqK4ii+7GNo1j0nSdS6F1b/7vua2Rwwy/qAoGJ2e+jUt5SBwpwBANruUO4gu11PanM7ocIjTmJgfU/o5J0UpiZvX+mcfnnCM8ehyRFetcjuELt6L4GCt2v4E1MxRufSr5nLQ1z30//uh+CtOhfezsN8z9IaNxpCNWFNMsk5l1Db+U1mtzLcKlhalYWRTgCf/Koxg6f3oxLDbI39Rd6888TcHVgyByvHbyFluBxLGq7BU3xYkuTvvxLePUGmoNLaAwsYWP/d6iM2KUOFF5lZtNH0dUw46IXUKz10OhfgASC7rGs7/sWU+JXMr/lC+xL/Z2xsXMYzL/GorZb6Mk9g0dL4FajRLxTGcivpS18EkhBxRwGWSbkGY9fb6cxsBhNeMnV9uNXvExvuHYkdaWRKm9l6+AvmN/6eYaLbzIhdiFu7f0INEy7wqym66kYQ6iKuw4UhyNb2cPE2KWjtuWrB7ClQa56gKbAQjLlXUS8k/9bAOPtgsU/hRCPA38e+fulwKP/lQMRQowF5gFrgaYRIAHox0lT/avPfBD4IEBnZ+d/egyKKtAjKgJBzioTUX3IESHAmjSxpcSjaFRG3u4Oy46rKAyaeUASUr3krAq6UGlxRdBQR94jJB0uR4tRIAgqXoQmUBD/ciwuoTHT28auSh+fbVnNweowNx38E2dG5tBbOzYjd6A2TIseqYNFXAvgVVycGZmNhso4TwNCglUS0FUmet4s7GKN4bvWUd0zhH7ZfNzj41RHjI20uJ/g8vF17wo14sUztYnhu45MSorfhRr3YRVqlLb24ZnYSOTsmehNQYzBHK1fWIU5XGDorrW03rSSvq/9s/7Z4qsHcLWG8Z40/pjvYgzm0ZtCyJpFJKFxxSeb2fRygUBU5bizIuQzFtmkSTiu8dqTOQJRjZlLdHyBY99f/CGVnv0Vlq0KY9k2l3ykib/+xwAuj0Ixb/PQb4e47GPNbHutSDZpsPCUEF27qyAEb9WgbGxzkRky2L2pzLqncyw9PcTYqV7+cedRXs4WVMs2uluMYphHGzQUBeKNmuPD/S8ZSxJFCOK+mYCEjEnPTU/Q+cOLWXFWmELPY5SHt9K6/LNk9z2JWUkTHncatlWt8xxCY0+l2L9+lJKsWRo8Rk7D2T6M6onACFjIkXRrLX+khCs0D2h5/BMqSCmITjmfcmo3fa9+D4Ds3sccS9TOE1HcYcac/mNHVsQXRyguUF30Vl6hJ/8cQuhMS7wXKW3mt3yOzYM/I1/tZmLsMnanHK0nVXiZHL8csOnLOy8RTYFlHMr8E2cl8CITopfQl3+evem/1cfZGjyR8THHpOjoOJh+CCtcoT10CkPFDexL/wNV8TA+ehGNvvnsSf2FibFLaI+sRBcBmoPLqVlZgu6x9Oafx6M1EPKMR1P92LaJEIJUeSsN/nms7b6ZmpVBU/zMbf4UQdcYalaWval7SVccsA26xxH3zUIXQVpDJ7Bj+LeUan0k/PMZG1mNX+3AsitYsooqvFjyKDKsZzJuLUbcO5tkeZNzPNdYalaeBv8ctg/+lonxS6hZ2f97wEJK+WkhxIXAcSOb7pRS/uO/ahBCiABwH3CjlDJ3tFKslFIKIf71oyXlncCd4Jgf/VeMRXUr2FLiVnT6jSwCaNCCtOoRslaZmBaoq9B6FZ2qNElZRfwjZkaGtMiMEOiyCFpdEVQUSrbBsJlHAqoQtOgRgooHExuf4kIgkCOri6jqo8MdpyxrvFrcx0XRhXy772HA6Wqa4W1jw8jK4nDM9nYwUMuioTDW3cBVDcfx4/4nmO1rZ5y7ke/2PULRqnByaDqnLppGIAdGTxYz5Yx14KfPOzUIRSDcGmrAjZSS8OnTUHw6weMmIAV4JjRgVwwQ0PD+5QhVoKgCV2OQ4X9uJ/VXp/CpNQZpuv54+r73NPGrFlPe/Vb2LJQ29eI7eSKKz4VdOlI3CCzspNaTxTUuRmODgtHopmWsC7dHoe9QjQ3P5Zh3QohffLm73t5aLlhMnOVjwkwve7c4D5ymC1a9O04grGBZElVT2PRSltVXJfAHFSbO9rJnU5k7v9LN1Hl+Wse5MQ1JJmlQyJicfnmCx/94RMX2zCvivPZMjnHTvJiGZN3TOWYtO7aD7c2X8lz4wUbu/Y8BLAtcbsGF1zUipWTqAj/9XTWKOfMYXakVZ0Yo5iQDr19G20qF2q5B/EvHIFwVJs8IURyIUUnupPeV7xEefzqRSecgLQOjNEjb8V9maNNd+FoWUDg0Wkm1PLSV6LSLKfYdZQ4mFHzN80jvebi+KdhxPNI2aZr/YVBUhjffTWLm5eQOPM3g+p8C4G2YScO8awmMOZnI+NMBHPlvzUt672Pk9j6Gv20piu4n1HkCeAU9+eeQ2ExLXElP7nnawyejKQHGRc4l6B5HprKTJe1fw7AKqIqH/en7mZq4GiE0pKyNrK2dZ0NTPIDkQObBUd+xN/88Y6PnEnB3kK0c4YgoiosG33zSlR3sGP7tkd+o/3YWtd1CsrQFIRS2DvyCJR3fxrZr5Kp7RxRtnUiW3mBJ+zewpYEiNNpCJ7O+92u4tQhjI+cSdHfg1uKUjSE8epwZjR+iN/8CUe8USsYAFXMYRVHpzb9Auuw0r/TkngZpMzZ6HqCgKwFmNX2EbUO/pmZlCLg6mZS4nI19tzOz6UOke3bg0eLMbLqebGUPll1lUuJyBM4K5r8j/k/O8jKO1IcNvLXk//85hBA6DlD8UUr595HNA0KIFillnxCiBfhv67wSqsC0LVxohFUvOavsqMe6orgVDSlBFxpg1r0pwCHjeRSNgOIBQEGQ0J2Uk4VdBwoAS0qGzDxNWpiabaIg+FbHxTyX245PcTPfP5ZdpT4WBMYy3zeGHuPISmJT6RBnR+ayIjCJVwp70IXK6sg8/KqLy+JLuDS+hF2Vfn4+8AwpM88HGk/k811/qwPR39Ov06AGWeEag7QlgePGU97aT+iECdjFKrX+HOHTpmIXqtiFGlrch3tsnMruQdSIl6abTsLKOF4YZrrEwY/d59QyGgI0f/wker/1BHaxhjmYRygO6KsRH67mYydVz8QE/e4iDV85nexvHB/vwMJOAsdPoGxpGDUNwwKPH+74Sg9XfboFj1chGNV49YlsHSgAOid7+fOP+jnn6gaWrXLsVlvHe9DdgmzKIhBSyQ6bPHd/BnAE/a76XAuReJZ928poLsG0hX5qVZuFJ4fYuaFEIWvxyR+NIZc2MaqSZ/+eZt+2MgtOCrLgpCCqKvCHVEJRlVz6yGBcboWWcS4+8YMxZIYNdJdCMWdRqziAtfjUEN6AyoqzIkye46PvUJWJM300dbjI5YpMmifx+9xYMQ9yZYHedd+kecHn8DXOQQ+2YeR78bcuxiwPo2gejOIApeHttCz5BLXCAP6WBaM8LKrZA7hDnSRmX03uwDMomofIpHMBhfiMyykPbcXXNAdXoJmuZz+PK9hKbOrFtC77NNK2MY8S/ysPbaHU/wbxKRfS8+JXMUvOS4C/bQmJmVfijY7HKPRTSe2mktuPJzCPGY0fQlO87Bj+LZNi7x5JP7nxu9oZKr6OrgTZOXw3xVpP3QrVlAbjouexN/U3BgqvMj52EanyNky7ghBgH+PxIlFQ0ZWjuQiCCdF3UbPy9VXK0funy9sYFzufwcJrGHbB0baSVXrzo1vPa1aOXHUfO4Z+B8C8ls8yNX4tQgFd9TNYeJ2mQJh96X+QKm9CoLK4/avsGPot2eoeAHpya1jQ+nmaAosBSaayiwPpR+iMnImCzv70/Xi0Rua2fAopDcrGMFsGfkHJ6GW4tJETxv4MKS12Df2ZtvDxZCq72ZO8h5hvFk3+xVTNHG7tnZUPebvdUB8Avgw8w5FuqK9KKX/znzm5cJYQvwa2SylvP+qfHgSuAr498ucD/5nz/J+GOpIacis6LaojDlayawQUh2gnkWj/QjXSr3jwK268LhcCR6m2ZNUckHnLvjXbxJQW+shxXELjtPAsFJyOnAWBcUgkTXqIsOqrrzwk8P2+x/hY02lcHl/mrFQQaKjcl36NATPHksAEzonOwys0dpb760BxOF4s7mJ2PkigJYQW9eGd1kzqLxuwywbhVdOoHUjR992nEF6dxBWLUKNehN+N4lbJPLSV8tY+3GNiRM6ZRfzKxSR/vxZzqED26Z0Elo8n9+QOvDNbUKM+Om+7AOHRsAo1ohfOIf3AZrBsPJMaiJwzE+uFfdgNQSKrZyCrFkaySLLi5o+/SJNNpog2arz7480EwxoHdpeZNNOPEAL7LcX4aslC1QR/+kE/oZiKL6Ay9Idhrr2lnWBYRVEFiiZItOoM9xoUshZ/+kEf1365nSnzq3TtrvDrr/VQzNuc874EoZjK2GleBrqcFY+iCtJDTo1GSli8MswrT2Tp3lPig19p46l7UyT7TaYv9NPQqvMfX+jmulvb6dpVYcxUDx6fYM+mMn0Hqyw9Pcxwbw0hBD37qvhDCtWKjdtl09FQoCby5Kpl/O1RUk//EdWbQKiQ3P43Wpd+Bts2MctDDL35W8zSMP6W+SRmXU33mi9jVdOMWfVTwhPPJrf/SYSiEZl0DggoDW4mPO40pG2Q3nkftVwPHafejq9hNmDR98p3cQVbScy8ksE37sQo9qP5GmledAPDm/9QZ3VrvgZSu+6vAwVAsWctkQlnoYXHoHqiKLoPT2wK1dowvaVXGBM9m7h3FhKbrYN3UrVSqMLLrKbr0dUQjXIRkfjl9OTWEPKMQxEKTf4lI1yHLfi0Jpa0f4Oe3NNUzTzt4VMxrQLt4dOQWKjCAyiMj11IS/A4SrV+4v7Z2LaJLWv49WbeSrkNuDuREvoKL6ErQcrmID69CV099sVGVbxYsoppl9g08CPmt34eKS1e7/06Ec9k+vIvkhpJFamKC8Mu1oFC4LDDtw3eWd/WEjyeeS2fQlU8WFaNijWMJSsY+SyHsqMl43UlSMUYRlXcdEROY3/mAYZGWnSHSuvJVfbSFFhCyD0ejx47Zuz/VfF2VxafBuZJKZMAI0ZILwP/KbAAVgBXApuFEBtHtn0BByT+KoR4P3AQuOQ/eZ7/o1CEgmXbeIXuKM5iExzxseg3MtSkRUj10KiHSJtFLGwCigeX0OoS5QKoWQbXX/shHn/kMaINcR5dfyQ94FPcVKSBW2gUrApfP/QnAMa7G7ixaRVZq8Q3ex+kYFdZFZ7FR5pWcvfwy+SsMnN8HYxzN1CTjm2qLeA3Q8/zWskRhnujdJCrEscxzpNAEfljvl+7iFB96SDBs2dhWzZ933mqztQe/v1aGq5djmdyI5Vdgwz98mXabj0LoWuk/vEmhVecc9QOpakeSNHy6ZWk733DsWntyxE8cSKRs2YQWDGe0ps9DP3yZeJXL8YzvgHPxASdt18AtkQaFsZwgcIf1qOcMR3/ok4G73iW4IdXcvfPU+RSI8SrQZN7fjzAJR9trHcpIWDJqWF2bijVc/+b1xY45+oEd9/WTy5lkUtZLFoZIpcyURSVNfdniLfovO9zrax5IM3uzSUmzfFhGpI/fr9/1PV5/sEM1365jV99rYfMsFOfamjVueqzLVimpJi3+fnNTp5/4wt5rv5cM7FGneYON/t3lHniniRSOhpRU+b52L6hRMdED/Fmnaf+lqJStll0Soj+g1UmzPTiDai0NRRJff9mkkODqOEI8es/SKkxRdvx30LzRTBKSQKtizn45I2MWfVT+l69re5PUexbj6IHCHYso9C3nkp6L9gmLUs/A9Ii3/0yleRufInpDL15xAk5Nu1ScgeeJLPrAdyR8TQt/ChmNcfgxl9iFJ1rYpYG6V/3QxoXfpTeF24FQPc3HeOcB1DLdeGJT6VrZD+AxILraG04iWRpEzHfLLYO/JyqlQLAkmU2D/yE+a2fY1fyDwhUFrXdAlJHE16680/Rm1+D39VOb+55xkXPJ+Aaw4H0/UyIXULJ7GF97zewZQ1N8TK3+dNOcVyJYloVysYQe1N/Q0qLea2fYbD4GuWR4nfMOwtdCfJazy24tTjTG97P/vQDjAmfzeT45azr/kpd6TbmnYlhFTBtJ2VYMvow7RJSWlTNJH69lUzlKPl9FIcXMxIN/vkMlzbWgcKrN9EZXkVv/kUKtQM0BZYxLfF+dif/SnNwOT25Z+rF7hkN16GrQfam78WnNdMZOYOyMfp+7Su8yJjIWQyXNtLoX4RLOxbs/ivi7YJFEjh61smPbPtPhZTyRfhfVHhh5f9i+zsWua4XSW29B7OcRPPGiUy7hED7cU4RWoAhzTrnImdVMKRFTAugCZW8VSZvlYlqfmcCl5KyNLjkyndzw/XX876r34db0ajZJj7FTUTzkTKLqIpSPybAvuoQ64r7mOJp4Ybm07lz8Fkez25m2Mhza9sFFO0qg0YeQ1r8cfglXivtp0EL8v6GEynJGlvLzkP8ZHYrY90NmNJikX88rxX3AdCkhThbnU7+xSfIRwIoXp23VluLrx3EO72Zyi4n+2cOFfBMbaKw9sCo/Wpdaax8leZPnEzvNx4nsGQMwqVi5soUN/Vg9GYRbo3MQ1tou+VM1LCH8qZe1JAHxefCKtWInDuL0MmTqHkEHd88l7ypk0uNBrjUgIHbq/CjT3Vx/Oowy8+KUMxZfOhr7Wx4Loc/rDL/xBC5pMGN3++ke0+FWLOO16dg1CR33HJEimPba0Uu/VgT46Z7aWzXKZeONY+SUlLMW3WgABjqNdizuczE2V7WPDC6waB7b43e/dVRJD4hIBTV+MlnD9U7qmYvC/CuDzeRSedo6FC4/1c58mmLqz/uJ/0f38Uccq63lc2Q/OkdNH758ygujfSuvyMUjdDYU+g8/ceYpcE6UByO8tAW4jPeTTVzACPfTXbf46N4DlY1S3TqRbSf/C0qw9sd8b/UTjLb/wpANbOP5La/0DD7aozCURJwigtPbDKaJ0LTohtRvVEUd5hA2zIqyaMmSKHgjU9D2qP5DOmtfyW8/DoOZh5mQeuXyNcO4tWaCHsmUjXTZKu76ytficXu1D1MjF2CKUvsTz+AxKJiOlPNruQfmd10AztKr9EZOYOtg3dgyxGVaLvM1sGfM73xg/j0FgLuNl7ruZXDtY43+37AvJbPYskqAgUxkudf2PZlTKvEgfRDFGrduLQgBzOPsqj9FrKVPSO2qVU2D/zs8BelLXQK0rZRFIfkWagdIuKZUmd7m3YRIbQ6X8arN1CoHWkamBx/D1sGfl533kuVtzI2cg4twWWowseS9q/TV3gZv9aCjcHG/tvqnx0ormVG43Ws7z1C3FSEjq4GSJY2E/fNBv5nwWIPsFYI8QDO1T8P2CSEuAngLSmkf8vIdb3I0Bt31q0jzfIwyTd/hSIEetuSt/q1A1C2DWyKRFQfqlCIqD4ADGnTb2RJ6AFWnngye/bvAwQNWhAJlO0a/UYGj3A5Fqtvif3VYeb7x/FKdg8fblzJ13sfYH3pAIsrE7g3tY4hM09M9fORplN5rbSfITPPzwef5qbmM/lqz/1YI0Vzv+Lm24MPc0ViOedF56ObgnBBgUM5gufOoLylj+i5s445v9YQxDxKotzVGcUa8Z44WmIcVSAtm+qBFI0fOg414mXgZ88TXD6e4PJxCFUhes5MFI8OmkLtUIrcmt1Y+SrmQB4EdHz7PKSuolZNur7wEMHrVxKKqfWVBThy4UIIPv69DnSXgrRg08sFJs7yctplMZBQLtjs217mhYcytIxxE4yqnPmeOHd9r2+UdMdwnwE2uH0KD/x6mGWrwnRO9owyFjp+dZTuPaMlXAAywyb5jJPuOjpeeybH+z7fwkBXjfSQiaLCqnfH2fZ6oQ4UQsCM5YLYpI1Ui8/SZzVxw+3n88J9gkSjTap/tEanlcuiWzqHnvlMnQmdP/gcHad8F9V9LDnNFR6DUeinmj1IbOqxJpaBtmWo7gjStgi0L8esZEhu+v2ofSrJnaCo6P5mAu3L8DcvQCgaCEF69yP4m+ahe6LUct34WxdjVTPkDj6H6goSm34pZi1bn4QPh22UUIRCyeinZmWZ1XgDquJGERpuLYaUFpriJeDqpFA7hGmXqFk5dDV4DFvbssv4Xa3Mab4JtxbDtEf/RmVzCCFULFmhYqZp9C+k0b8QS9boy7/AzuG7iHinUjUytISOw61FMO0CiqJjY9EYWEhP7mn6Cy8xUFhLwN2BT2thXNTheLjUELObbiBT2c1A8VVagycwLnIeBzIP0Rk+g2Kth4HiOlThpmpmWNh2M13ZJ1GERpN/MUPF1wGBSw3VgeJwdOeeIeqdxtruz7Os4zsIKdBUP7uTfxr9G5lOMk1XgvX6zpjImQAOW513zlTp7YLF3pH/DsfhGsI7A2H/A5Haek8dKA6HtGokt/0FT/NMYloAU0rcilYXDxQ4shluRccjJVVp4hIqObtMTPNTHlGnTVtFDGliSRuX0KjYxgiN3yKi+Y4Zyzz/GH4y8ARXJY5j2MzT4YoxYORocUXqznwpq4gpLTxCpyINslYZt6Jxa/uF/HrwOd4dX0rJrrIiMInfDb3AVYnjWOQfT8FV5Sm1h3xHhTNXzUNU/Xhnt9aF/bSGAOGVk+n+yqNOzeI9Cym8tI9qb5aGa5bRf/uz9ZVIdPVMiq8dxEyVSFyzlPKbPTReuwJp2dQOpRn4yRpkzULxuWj+5CnYlhyt/SQh/9I+AsvGYWfLtH7uNKRb48obg/zxx0Nkhk1iTRrvvqkJl1+y7p95Xnk8i6YJznpvgpaYTeb3r2B2pdBndzBl9gSet6nzMla+K47uctppFQUSrS5KeQvLhj/d3o9pSDonu7n8xmZ2bizStafKlLk+KkULf1hHdwtsS2KZzmQ/bYGfbNrghHMi7NlcqhfYNZegWrFZfXUDHp+CokIwovGTzxyqf9WpC7x4Ozaytd6Rs5VkZT3HX/gt1IyKq7WdWu9ROlyRKJZdHiWZYZtlJI7BUHz6pSR33Au2ie5vIjHzCmzbolbox6zmaFp0I8mtf8Q2y4THnY4r1EHXM58GKYlMOofQmJMc/sNR97w7OgFQaFn+efJdL9C95mZAorpCtB5/M8WBN8nseRhvw3TcgSZCE84i2HE8IKmkdpPZ8xgN899P00lfIr/naUrdrxAat5Kc6dxbmfIuVMUhFg6X3qS/8DIAHi3B7OaP80bvdxgbOQ+/3oauBIl7Z6EqHtpCp6ApHqpmllz14IiEt45Xa6RsHul9CY/4SOieAGH3BCrmkNMqK9yMi56PLW1S5TdRFQ/FWjev93wViYlLjTC3+SaEUOjKPjVya5rkq/vJVw8wJXElc1s+iSp0Xu/5Rp1dfyDzEIvbbqXBv5BUeSuTE1cwOXGFQ7gTbnpzzxN0jSHoHosQgnGR8zmU/SeK0I955nUlgGlXsGWNg5mHkdiYdoUpifeiKLqz+sk8RKayE10NMqf5E2Qquwh7JmLaJapmBq/ejMU7Z2D6dltnb/3f7/XvHUcTlo4OqzxMTVooKBTsMnE1gKnaji7TSHHalpKiXcUlVCwkCgK3ojP8Fg/ipFmgWY/QoAUxsFAQKCgEVQ8NWhBT2qwKz6JqG+yvDvF8bidnReYwx9vJvMQYHkhvQEGgCZWqNPEoOuZhKRLFQ86q8POBp/ha+7uo2DUO1VJcGFvIhbGFFO0qaavIt3ofIm87k+lLhV18ve0iWj+ygkihSrlSoRiCqq7R/jVHQLHWlXaK0jgrjM7bL6CyYwC9OURl9xDJP6+n4drlyJLBwI+dmkzn9y+g++ZHkDVnbHapxuAvXqTt5jOOub56QwA15CZ930aKrzuTa2jVNK67eS41AV32MP/gRRbumDvSyQRVJGG3xfD3n8XodTp1agdSBLIlLv/oLNY8mifZb2AaNidfGOXNFwucdEGUvgNVIgmNUFTlhu+0Y9TAG1BY82CamUsCFDIm/V1Vxk7x0tCm88GvtKFpgnzWQloSf1jB5XWhqoIbb+vkjRfyhKIaHZM8/OkH/aQGjjyoH/hyKwtPCfHSo874Zh4nGKiNVjGtWVlq9iADvw7QedXHGf7dDzD6etESDTR/9BMUR5SEjw5pVikNbsKqZGg77maQEqE5bc4IhcTs91LL96PoHtqO/wogsWoFup/7Yh140jvuxdc0h+ZFNzKw/mfYRhE92Ep8xuUYhT50fyPpHfdxeOVi1XIMv/lbfM3zqSS3U0lup5brJjHrvZi1PPn9T+GKTSI89xJeHvgyEpPpk66haexJ2B43AU+CTG03Hj3B3tR9TIpfWgcKcN6Wu7NPsaT9GwihMFh8DcMqMrXhGipGis2DP3K4Bb4FjI+ej8sdpWwMMrPpenYl7yZX2UfUO43pDdeyN/UPGnwLyFb3jHor3zTwY5Z3fo/dybuZ03ITr3V/BYC4bw6K0Nid+guzGj/KmMjZjuTIyKpGUzwgBIZZpGRlR8mwgGRv+l6mJa6hJXg82wbvIFfdT8w7k4nxi/G7WvC5mtnYdxuqcDEp/h5ivlloSoCl7d/ClgbDpY3sTz/IhNhF9Oaec54XaTIhdgmmXWRj//cpGwN4tDjTGz/IYGE9JaOfXcN349Nb8GmNRLzTSZW2kCy/yZjIWXAsFv2XxNvthlqII/kx5ujPSCmPdb35Nw3NG8csHytRrnhjeBQdG5uY6nfeGlAYNHNUbWcl0aSHARgwcvhVN1HVj82xuXBHflzSY2QwR2xaG7QgKgpfajsPw7bwKBpl22Cmtx0Lmy2lblaGZ5A2iyzwjeGcyFxq0ql7ZM0SJjZh1ce1jSfxcOYN0laJTaUu1uR2sNA/lqo7gRh56PdWB+tAAXBicCpVafKj0rNIBVa3zKHHSLPM9NJ98yPojcFRaarMfW+iR/1I26bvR88hSzUiq2c4qrICUAVawmkXPpo3AU7dA6hbpQK4JybwTGuisme4DhQAuce3E++IcN+sHp4r7GCVfzb71pp4/AoTZnipVSSREKR6R8tEFF/eR+y02cxeHmTSHB+KIhk31UO8SefOr/Rg1JzrMGmOl7Pf24BZs/jdN/sZ6jUo5i1OfVeM5+5Ps+uNJFMX+GkZ4+aPt/cxabaPc69p4Cef66JcsOtqseNneHn9mRyRBo304BGgCMc1FEUwdqqXeLPO7jfLxBtdGErg2Buv6Ka0r8a+X2u0nf9p3HGBnnCxtfJLJkUvQOzQ63UAxRVEcQXxN82n69nPkt33OLHpl6J5E2ieKPlDaxCqi8jEszFKScr9GwiOOYXcgafeIuoH+QPPEJl8Pu0nfweHmm9TzezDKPTCyH16dNTyvYTGnXZk2L3rSMx8D5q/mdL0k0mX1nNo4Lf1z21J3snyju+hABv7b6czdDoBVzsuNUjZOLYTvmj0IoHXe26tp1r2p+9nUdstKMIL5BgqvU5H+FR0GaJY60ZVPIwNn4sWc1M2ktSsLFMSl1M1c8e0v4JkoLAWv6sd2zYIuscyreF9DJc2EnJNJODuwJJVNMXPko5v0J19GkVotARXsGPoN0xNXI1pH2uHKqXNYPF1GgOL6sS5geIrmLJI3DubncN3MbPpejb2fR9F0RAobB38OZnKDgQKHeFVLO/8Ll3Zp0iOtN12hE/HllXe7P8hZcMBp4qZZOvAL1jYdjPrum/BsPNUzGEKtUMsbL2ZgLudncm7mJx4z7H32H9RvN001B9xOqI2w7+YBf9/ELEZl42qWQCg6MjJq0dqEYKSXUUTKooQWNJGEwqGtOgf0YXyuCKoiLqYn19x4VFcVEYAIaR6R5RqbVQhiIyksIQQPJLZyJNZh4V7TcOJXBFfjoXNd/seRVUUZns7eDy7mTuHngMgoQW5ue08vtV+MRmrzCOZjWhC4Qut5xBR/bS4wiTUIF/u+TufaD4Dn+Kqt+kCeIXOKaHp9RoHOByOW9ouQLEUZNWidiiNGvbgW9BBab1ToMut2U3jh46jfUYLVr6KlBIrU6LWl6Pjm+diDORAVdAaA5iDzsPlndlC7OJ5SMOi5XOnYeUryLKBGvY6NY9/Qdir7RzENVMjovooUmHVuQFOuSDChhcKuD0KStyPa0yM2sFU/TNq2EMmafLAr1OcfEEU07RZdHKI5IDBGe+Js/mVAgd2VNj9ZhmjZhOKaVzzxVYKOQvTkPzmm71kRsyJuvZUOe7sCPNOCPH6MzmWrqrh8SmUCzZSwnP/SDP/hCC6S5AaMPjotzvYsCaHx6cyea6Pv98xyEBXjbFTPVx6QxO5lMFY/+W8Wbm1/tYa887G7vdhlfOUD9XY8+Ma/oluOm6SDJXfIOKZRuepv0SaNSrFvXgjHTyUe5ixrg4mzP0Aya334Guah10r0PvSNzg8Uee7XqTj5G/R9+p3KA1tITTmZISi42+ej21VyR9cQ6DzJISqkzvwNNXUbnwtCwm0LCS773EC7csRmhdpHqkJ+JrnjTJEEpoHhOMB3qgneDX7FEcDjC0NTFlBF35qZoZMdTcx70yaAksJujsRqKNqEs2B5ZRqfXWgAGgNnYCquJndfANSmhzIPIxXa6Bk9DpEP2nSET6dkllkd/JPLOv4HjuGnTqMV2s85p7yao2U1H48eoJpDdfwRt93GBe9EK8eZ3fyTxRqXSR8c+kIn8646HkkS9voy71Ec2AZhl0k6BqDW43Vu7kAOsKnsy91HxHPFFThwZLOy1iytIlx0fMpJwcpGX3Mbv4YPq2RrtwT9c4pic2h7GM0B5ejKW7aQqfQGT4DIXRqVobSW7wzqlaaqpWp1yoATLtUV6Fd1H4LLvWd41q8XbAYklI++L/f7d83Qh0OOd3phhpG9caRk1cT7jgea6RgffhRCKteWvUoprRQhULFdrSdBowsbXqMjFUkqvqJaH7ee/kVrFmzhtRwktljp/LFW25m1ZUX0KSHyZolkmaBjFkkqHh5T3wFdydfYm1hL9M9rRStKjc2r2LQyLK90svq6FwKdoWt5R6GzTwPpd9gdWQuX+y+lzm+Tk4OTecn/U+StysktCA3Nq9ikrtppH5So90Vo0kPM2BkmeJtYWPp4DFmS09lt3COfzaB5WMRmoqUED51KvFL5yNUBats0Pu1f9L8sROx8lXckxvQG/ygaY6BUXsUVEHrZ09j4OcvIBSF6Pmz6bvtaex8FcWr03jDiegJP0JVqB5I4VvYQebh0bacvmVjuTAU5ZzwXGrCQrclj/5imJ3rnIdx3dNZPvT5Uxn+tNPNgxAELlvCg087E9yrT2T50NfbSPabvPhwBilhxZlhJsz08fS9KVIDBn/98QAtY92ceUWcUsGuA8Xh2PhinvPe38Drz+RI9hkEI0c0pKSE9JCJy6OQGTJZ151h5cVxnv5rijtuOcIsN02JaUrcPo1XH/Rz3Hm3U5I78bkaUNQIxiEPQi8gDYkeVWl/XwOW5wDzw1/BVxhH931ZVK+g8fQZmJbF0/lHkUhubPwsY074CkJ1kd3zCEdP1NKqUuzfgDc+lfLQVhrnX0c5uZO+V77reFNMfzeaN8bAuh/WAaA0uIlarouGuR8gvfsRWhZ/guS2ezCK/fhbFxOZeDbJbffgb1lEeWgL0SkXUB7egSc+BRRJ1DuN4dLG+hhU4UZXAuxN3seS9q+Rr3bV20GltJnb8il2J/9MzcrRFjqJBv9CkqU36p9vCRxH2D2RV7u+iMREFW5mN38CG4sNfSOrIQTbhn7JnOabaA4sRxE6g8V1gGBR25cZKq6vp42i3ulEvJOR0kTaFtnKHgyrQMI3lw1936q/wRdqhxx71uAJxH3TyVV3cyDzEAnfXFpDJ7K4/St0556hZmVpCiwjVdpEvnYQTfWOUrb1aAkMK48idCKeyWzsu41x0QvIVvYiUBkbXU3CN2/kelgI3EhpcyD9IO3h06iYaXx6CyXjSOODW40e07nYEjweKS1U4cLvauWdjLcLFrcIIX4FPM1op7y//68/8u8R5shTLXAAw9e+jKpt4Brp6rCQpMxC/VF0Cw2f4qa7lqqL/4VVLx50LOlwLDShoglHE+rbv/tJ/bMKgjZXlKJdpXyUraoE7ku/xldaL+DLbefTVU3yQn4nK8Mz+HrvgwwYTrrFp7j4fOs5fLv3YYp2lZ5aGlU4KSyP0PlG74N15dlhM88vBp/hxqZVPJHZzPLAJKKan8+2nM3Wcg8uof3LnuW4FqRBC6GdNxsk1LrTCE2luO4gnilNKH4X7vEJlLAXNeHn4If/imdqE03Xn8DQnS9R2TWI8Oo0XreC5htPBinp+frj2HlnXHbZYPBnz9N848kM/+E1YpfOQ08EaPzYCQz/Zi1YNt7VU+kdr5C2BvjZ4FMY0sKruPj4lWdRybk5uKNKLmWxv8dgwg/OhUN5zFiEl58rs2eTI7B3ztVxjIrk99858rD99WeDvO8LLTR3ughFNYb6DIb6DFQNTrnoWDKTP6RSLjppp4mzfWgugWVKevZVcXsVIgmNGYud1FIhY2IaNsetjpAcNOjaXWXcNA9nXZmgUrQJRlRWrW6kfLAGO6djhDUiC/14p8Ls2zsxchZKQOGunw1y9ZeasQoetnyxq76OH3ouz8xvdzDHt4iNpXX8I3sv1+vvwhMZi1CdJLXqDhPsPAHNE0XzNyP71uNrmkOh5zVy+59w7udqlsE3fkHnaT84xjo1d/BZgh3HkT/wFNX0bmLTLkbzxCknd6JoHrzxadi1PPEZl1HNHWJg3Y9oWfoZlEg7E2OXYdglspVduLU4Mxs/jGEWifqmoCo+gu5OalaW7UO/xKc30xI8jgmxiwEbn9ZMb24NTYHFuNSQAyDhU3ij9zt1roMlqwwW1uHSwsS8MxgfuxCkRFXcFKrdTI5fSV/u+fqEvXngP5jbchO2tFCEhmEV2Ju8l6bAEhAKpl1BEW5sadSB4nD0F15ifOxCNvbfRr56wLk21X2UjAHGRs6hNXgSB9IPsXXgF1StFB2h07GsKocBWxEupiTey6HsP2n0L6Yv/yKaGsCnNxHzTqc1eALZ6l5e7/kaEpvmwHLaQiezt/cemvxLUIWbA5kHmd54LVsH7qBsOjWLWU0fRVP8dIRXUagecrq9AovJlPcR9U78F0/zf228XbB4HzAVp3Ry+FVUAv+2YGFLSc02GDIdzoJPcdVbW1NmkZq00IRCkx7GPgrNg6qHtFUYpRKbtcqEVa9DxJMmUdWPKS1qtjkq82vjFMKDioeiXaVBC1KVJocXmx7Vxa9GVGInuBuJav46UIDDIn82t53FgfEjf04ACQHhRghRB4rD0V1LkbfLPJh9g83lbt4bX0GzO8xi/3gkDm+kVY/SOyInElZ9rAxPR8/ZDP1pPdGzZ1Da2EP+hSONcImrl9BwzVLyrx4gsHgMSthD7KI5pO7dUOdlyLLBwI+eo+M75yFcmtMme/R1KNZQg27il80n89g2pGkRuWA2oW+dTtYu86i1h6WuZu7oewZjJNdetmv8uvg0H7j4bA5+zfmeVcvkSX0fK6fO4ak/pNj4ogMU0QaNcTN8dYXXo2PL2iKXf6KZf9x5JG++fUOJ0y6NM//EIBvWOGNVVDjtkhhb1zmmRhtfyrFzQ5lTL45xaFeZGUsCaKEqr99fpFaRLDwpRM/eKhMneVh9ehi5WiBqkoBHEPCqCAsyrxc5+NsjaZaBx7NMvLGZ3LYygUkeDKCUN0keclNbkyMw0UO5u4ZVsrGKNukNRU5bdi4bS+sYNPqwQ0EGN/6WxMx3U8310DDrPaR3P0J5aAuBtuVEJ59DJb1vlFFRPaTNW9tvFc2LbThckVr2IP1rb6dtxZfwNUyje83NWBXnPknvfoi2FV9E88Yp9q8nFp2IEIIJ0QvR1RCK0FCFB1tWiXvnYksDaQt01Y9ApWT0szd1L7oSYHz0Yvx6ByH3RHQlNKL4+txISmf0/VwwuhjnX0DMO52Nfd93+AyoTE5cASg0BhfhdTWSrewh4Z+PEBouJTDSUivoCJ+GLQ0EkqbAYg5mHkYV+jHXwa1FHTvaEaCo/16FV5gYuwQhNMbHLqA5uNRp8ZUgUFjeeRuGVcClRejPv4RbjTIh9i52J/9EZ3gVWwZ/zvTG6zDtIl3ZIxyY/sJLhD0TmN/yBXy6kz6Le+awa/huJicux6VGcKsRdg3fTbK8iabAUtrDpyKl5PWebzCn+ePo72D66XC8XbBYJKWc8o6O5L85bGnTZ2SxkSS0AD7FjY3TsaQIQasewZaOwEaDHqTXyGBLiSqUenH66LBG1GQ1FHShYkl7RABtdBwm+FWlSdU28CguwprPKZ5LyZ6q85bjVvS6UdLRUbJrtOoRLoguIKb5kUKiKxrDZp6w6nMc+0ZinLuBfiNLVPXxwaaTURBsLfVgYjPT286+8gBfaD2HQ7UktrQZ625AQyCljZ0ro8V85F8cbeSSum8jvvnt+Ga2IKsm7bec6fhm73xL3UE6RW29IzpKzRZAS/hRvC76bnuo7qHRv/1JQl9dyQ9dzzFk5lkenUL5rYY1Zh5/2MnPBsIqEyeEKK2ZQGGu5IRzY8w/MUz33gpzVgQxa5Jw7Njbu6FF5/kH0+zffqTQ39jmFOhPuSjGnOVBskmD8TN9CAXiLTqP/mGY3W866a0/3t7Hx77bieaxeTH3NFPmn0xDxIUmIBBxMfBohv6HjgB8cLqXMR9owC7bDDzubI8fH6RxZQjVr6C4FKILfZhFiZqz+MjnWhGqoLosQKm9RmiaFzNvcfB3wyiaoFlrR0dnuncOtozia5xDvmctzYtuoPu5L2FVMwBUM/uJTrmQ8PjTkVatrkpb/3mkJDR2pVP8Hon49EspDW4+aieb9J5HCbQtqQOFs90ie+Ap/K2LcYfHkNrxN6KTzyOsjsWyShS714FZJTDuNBTNRaHWjcdsw3TlmBi/lD3Je3CpURa1fQVFaNjSwO9qQkqTvtxaAq5OhFCOMYFS0Ai6O9nY//2634TEYtfw3TT6FyJtsOwKFTPFtqE7GRM+C131s23wV0yKX45LDZMubyNV3kJjYDFL2r9OxUwxJnw2B7OOoKJAYVriGoRQj6mr6GoQG4MdA3eSqmwj6BrHtIb34dFiHMw+Rrayh6hnKo2BxTQFltGquNk1/Eca/QtxqxFKRj9dmcfw/gt/jUxlF6ZVYUPfN3GrMWY3f4z28CmApGblqJjDjI9diEw70iMeLc6WgV+gKBpv9t/Ograb8SnH1mn+K+PtgsXLQojpUspt7+ho/hvDkjY2klY9giKcNwsJmNIioQcZMLJ1UPArLtr0KKkRjkNAcZM5yndbFQIVZxWiCoWaNPEqOi408lalvgrRhIJPcdNfy1IdIePVrDJlu8aHG1diHEXQ213p593xpfwjvX4UcW9VaCYlu8arxT08kN7ADzrfgy5UdKHwqZYz+Wn/kwyYOTpdcW5oOo3b+h7l4tgSbCn58cATRDUfq8KzGDbzjPc2sbnURUjx8kR2M5sq3SS0IF+PrkaJ+xxywVvIiLJiImsW3V98iMQVix0F3kwJz7SmepcTAAK0piBYNg1XL2X4D+uo7B7C1Rml4QPLKW7uPsZsyX7qAHMv7OTJwlaKVpVGLcSgeeSYUzwtmGXByosizDkuxF9+PEDPvipP35vmshubSfbVmL0iwBvP55gyzz/C0nYx2O2AbqJFZ9ayIDveKLJhTR7bBn9Q4fwPNGBZko3P53j18RyBiIbmEoyZ4uVvPxukd/+RN1zLhP5DVaqTtjMgDnFim5sDPxyk3F1DCyqMeV8DsWUWqVeceyW/rYyiCixbIjRBx3sTqB7Bru/0YZVtwnN8jHl/Azu+1o1VsEFA5xVxKgMmg0844DL++kbGf7QRPaiSXV/m64t/hrAVurfaJJqXgl7CrOTqQHE48ofW4IlPIzx+FeWhzVQz+wFBaOwpKLqX0PhT8bcsoJY9hLdpNmYlQyDYRrF3LWY5ieoKEZ20mmr24LEPkLRxh8fiTUzDKA4ibQu7mkV1BfHEppA79AJSuJBSYlRKuGQNxe2iZmVY3P5VXGoMyy5yKPssLjXg5O8VSWvoeF48dANB1xhmNn2YPcm/kKvuJ+qdzsTYu5BIirXRhDaJ5bzRqyEOZB7DsLMYVp6IZxJru28m6p1BwjeHnvwzWLLC5MQVZCq7yNcO4VHjdEbOoDV0AiWjH7/eQlf2KZrEUsZGz2F/+v76DT0xdilIQbqyA5Dka/t4s/92ZjV/jIMZB2wylR3ka4foCK8i5B6LYeUIe6ZQMYZp8M8nVz1Ac3D5MZcz6pnOQPFVAKpWijf6vsfyju/yRt/3yNcOAODW4ixqu4VcZT9GLskc6yrMwSSusWOQRg1TrYyo8r4z8XbBYimwUQixH6dmIXDUw/9tW2dVoeAWGrpQGTYLlOwqEdVHWHOUZo9ePRTtGiFpEdeCSCRu1REGLNk1dKES1wIo4KwosOuWqIdrFCW7NsK9cOoE1bewtqu2SZPmJWMW62khQ1rcn97AV9sv5OH0Rsp2jTMis3mjdJAHM04hcKa3HYHge32PcrA2zER3E+9NHEebK8aAkUUg0IXGOHcDu6v9tLtinBCcwl3DLzJk5pnlbefaxpP5+MG765ILw2aeXxVf4QPXLMLMVusaUYcjdPIkck/vAkuixX3kntlNZfcg7d84B6M/R2X7AIrPRfzdC8g9vYvIWTMYumstoRMnEX/PIqxilerB1L9cdemJANN9QRRVoU2N8NmGM7kjvYb91SGme1r5QPQEwkWVCae5ue1zPXWXu2ijRqxRI9lX45l708xZHiAQVhnqMzj7yjiW5dQFHSa4zfgZXm76wRiqFRuPVyGTNBCKyrN/z2DbUMzXCEU1pJQkWvVRYAEQaoKfZu/kI+HP031nkvIIGJl5m/13DDLt1nY8LTq1rImQAiNtoEU12i6N4m1xs/mmI23C2TdL9D+cIbYowNCzOZDQ9eckU29uq4NF1x+TTPh4E4omSK8tMnZuA8KGwL4syWcLJK6IU6kcuwpVPRFU3cvwpt8RmbgazZdACIVqvgcj10ux/3WKfa+j+RpI73mUjhO/SiV7iJaln0GoLkAytOn3xKe9C8UVxK6NpBOFQmTSuVTTeygNb8cVbCe7/0lq2YPYZoXmxTcSn3E5Lk8AKW2C7jHYRQWQeLQE/blX6IiscvL1wWWYdon96QcZGz0blxpmfsvn6M49Q6a8i5lN11Mxh0mXt2HYJdKVnSR880YK2SP3jRLEsIvsGP4t81s/TbHWi3cknTO7+WP49TZe7/1qXTakN7+GWU0fI1fdj+4NkK3sdohzaGwb/BWZ6k66c09z3JjbafAvIF89QMg9DoHKgcxDo1Ybjovd6Jee4dIGJscvR0qb6Y3XMlzcSK66nynxK9mbuhdbGowJn82h7OOATXNgBQnfbHLVvRxev/n0JtKVHXWgAKiaSXqyzzDGewbDf/s1g6+PiH9rGm1f+DJ2Rw3+LwCLY9lU/+YhgCY9TMGu1HP9HkVHFyp5WTlm/8M+FdERs6OI6iM0Uqdw2NjOW6HAWUFInLVK3iqP9G2AC22kAO600XoUHUvaDCkaSTNPzTb5Qus5PJPbxqCRY1FgHPsqg3S4YszzjyVp5mlxRVgRmMQYd4IF/rEMGTkO1pw8+J7qAN/rf5QLowtZGZrBj/sf57rGkwlrXgqlKqsjc/lm74N1sNpTGWDAyB6jSru7OsDuYBeb3C9y0ccvw/V8F+auNL6ZLejNIfp/+Bze6c24xsaJnu9x1GKH8oROmUL80vnImkXuud0UXt5PYPk4mj92Ema2jBryIDQFvTGI4nPhfe1gnTmuRn0EV05mffEVbCH5/uBjrPbO4hPx07GFRB7Momzowp7RQk5VyWcshICmDherr0rw158MMNTrpK02rMlz+Seb6JjgwTTAqNi4vIJizuLVJ/LMOz6I16dSKVkUciaNrS5+fnM3iipYtDLIjMUBQjGNwZ4aKy+KsX9bmfyIBPnsE7z0erfRYY2lWbSzZXf3qGtnVyXSkkQW+FA9KsX9VbSACpbE2+6muOvYe6uws0zipCM5Z2mC0ASh2V5ym8tYJRstoCItaDg1BEi6/pwi+2YJI21RS5pM+mKYQPvxFLpfcA6iaMSmXgRCpdj3GsW+0a4CbSfcijcxjey+x+uE1ELfOoq9r1FJ7UJoXtpP/CrV9G6GN99F67LPUuh9FduoEBpzErn9T1Ic2Ej7CbdS6H4Zs9iPr2k23vg0ioOb8DfNwygl0X1xVJeOKOmkq1uRUqUzchYls4/NAz+hZmVH7FI/TNXM4lZjuLQIk+KXYlglkJI3+r6LlJI5LTeyL/V35rV+GoFguPQmAVc70xquYefwH8hUdmHZFVTFzca+2ygaPXi1BmY13YBXa6yDBUBX9gmmJK5AU3zsSf2ZTGUXPr2FqQ1XO8xr9xgqZhq3mqDBF8e0S5hWhUxl56jr6FZjWPbo31QVblTFjUSiCA9CKPTkn2GguJb20EqE0GkKLKU1dBISC4FC1cowNnIuQ8UNGHYejxavix4eHSVzAEyD0utH/Z6mSfJPd9PwsY+9Y4Q8ePsM7oNCiDnA8SObXpBSvvnODeudD0UoSGlTHiE8xTRHBz9lFgkonvp2cCZ6t6I79QyOFJKdOoekaFXwq26qtoFPceEWOgqCsl3DJTRcioYtHSXagl2lRY+QMoukzSKaUPEKnU5XA7urA+SsMgerw0Q0P39JrqPXSOMSGkuDE/lx/xO0uKKMdzewrzrI0sBENpe73/rVGDByDBk5bmw5g4JZoWRWWRaYyJCZpypNwqqXM8NzmORpIqYFcAltVKprjrcTwyqxqbSeYXOI9530YWILxqOGvZQ3dtP0iZNxd0YZ/I8XKG/rRwm4SVy1GIC+7z9D7F3zCK+aRvSCOciqSXn3IJ4xcfq+81Sdce2d3kzjR0+gunsI4VLRW8JgSy6PLGFj8RCzPe2M9zZy2+A/KVhVPtp0MrFBN73feJzwTWcwdaGXk86NM9hTRdFEHSgOxzN/S3PaJTGax7qpVW1cXg0h4NXHnVRTMKLSOclDvEVH2nDdre2Yps26p/L8+Uf9BEIqp10aZ9MrOS79aBMur0DzWbi8YHtchPdeh+1WCEz2kN96JCWpuAVaUCG3ucyBo2xTOy6PEzsugH/CsW9+/kkeyj1HyW40akhLEpruo+3CGJk3ilSHDPSQhjFsYrfqxJYFiczz42nWye+q0PvnCh3vuYTIxLOoZg/iDrWR2fMoobErncL1UZwJRXckZszyaEFEzR3BGlk9SLNMbv/T+FuXkD/4LD0vfhVf0zyiUy5k8I07qWX20rL8C5jVLJ74FPRAC0ZpmEpmH7qvEewqZiWHEAoub5RaqEQqs41x0XMp1rrYOnhH3Xu7ZmXZNvRLFrTeTF/+Bfak/orEIuDqYE7zTUS9M0iVNqEJDyHPeLYP/oYG/3xaQydiWCU01V8HAkXobB/6dV17yedqxcZiWuMHUITGUHEDO4d/jyJUXGqULYM/IzNillQy+tiXvJ/pTe9nx9DvOZh5mJh3FhNiF3Ew+088WozZzR9nU/8PKRn9eLQGZjfdQLE2WtdrYvwSbNuiN/8Muhog6p2Cpngx7eKIaZNgQesXKVS6qFppDqQfwpYGLcEVzGv5NG/03UZHeBUeLcae5F84euXSHFiGnSry1rByWaT5zkl9wNv00RZCfByHmNc48t/dQogb3smBvdNx2I3PO7Ka8CkuyraBW9HwKi7iWgCXUPEoOi16pF44FgjcQsOUFj21FENGDlUoqAgUodBVS9FrZOiupRyA6RnkzJWns2DWXGbNnMVvf3oHGatE0a6OdCRZ5KwyBjY7yn0EVA+7qwM8ndta71Ka7xuDbUu+1XEJywIT6XTHuSK+AiklxwUn0+Ea3fa5MjydnF3md0MvsKF8AJeq82p+N816mIji45MtZ7Gr0sfXex/kscwmPteymmY9jECw0D+OS70LGP+Kny9yC1f1XoZnWxUsGytZRG+PYGXKJO9ZT3mbI5VsF6oM/seLeKc20fbFVZTWH2Loly9j9Ofo/tLDeCY1knt+Tx0oAMrb+qnuS+IaE6UUVRkI1xj0VVERHK+OY9YzNbSnu/lk4xl8vno83l9tI/2zl7CLNYp3vcg5VzXyh9v6eOSuJLXysQ0HQoHmTjcvPZymWrapliyqZcmk2c5Emc9Y7NlSZv4JITw+lfVrcmSHLJraXVRLNkO9Bvf8qJ85y0NEGzX8zQalWoWn/pAn/aaXzoYImlsw7oMN+Ma68La7iC7yM/76JkDQ9ackWlil6awwbRfHyGwsIWuS0oEqHVfGUdzO/Rec5qH1gijSlugRlfAcH5M+1UJxT4Xue5IcunuYxtPC1NJOHeTAr4awK5Lkyzn2/KCfnd/pJTjZQ3CKF6sQRvE24A530PvKdyn2vY7QvCRmX8URcWdBfPq7UV3BUb7dntgkFFdwlOKsbZaJTDwLf+tivInphMevQtoGRr6L2NR3YZaGGHz9ZyAUysmdFHtfxSwO4gq20f3C19A8IWr5Ec0xTac9eAo1K4dHbxhJ3xwJxw7VZnfqz/U0T6HWxb7U/UyJX8H0xmuR2ITc4xkfuxCv3sjGvtvRVC/9uVcZFz2PmHcmEruu8Br1TKMzvIqNfbfx8qFP8mrX5/DpLUyOv5dx0QuwZZV0efuocYyLrWZD73dIlTdTs3L0F15i1/DdtAaPo2KmUfGyoPVLHDfmx8xv+SxCaPhczSxu+xrTG65lWcd3ifvm8XLXp2gIzGNX8m52J+9hfusXaAutpDmwnMVtX8W0Sni0GHtTf8OSFSQWvfnnyVUPsKzj2wwWNgA6C1q/SNQzlZB7PNMbr6NkDKCGAqih8KhxB048ESXg552Mt5uGej+wREpZBBBCfAd4BfjJOzWw/44QCAKqBwWFmm1SKm1gb+ov1KwkuhpjTPRdtIWOR0GhaFXron+mtKnZJq1qDMuQCFsgdIWMVay/A0igr5ZB0zS++73vMXf+PHL5PMsWLWHOSUsYN3VSfRwSGDCynBycjorC51vO4bfDz9NdSzHXN4YLoguwsFmT3YEAloZn8nDmDV4p7KVJD/GhxpW8kNvJzmofZ4fnULUNbu93/K43lg7iV9wsDU7CkjZfbDuXv6XWsaHkFC2fyG2mr5bmC63nUrZr7Cj34kvb9PzeWTg2XreC0uZDDP7E8bFQI17abj6D9D/esrCUEjNfobypl9KmXqIXzHFqG8JxHxxV/B6JWncabXoj36s9xqEe581wiruZG2On4ZnahNg5SCBt03fH+lFA4+qI8trTWYo5Z1IxTUnrWDe9B47UFk48L8q+7WUWnBzm/l8OkkmaXPHJFpacFmLFWWGKeYu2cR7KJYs7vny4YJpmxVkRlp8V4cWHnfrFwZ0Vps73YdU8aBWN1RdpWHmL1D+zuBIasaV+JtzQTLmnRi1p4k44j5Sv00X7u+MMPp6ldLBG/LgA0oa9Px6gYWWIKV9oRQuqIKD/sQyaT6XzqgTVAYNd3+tj4g3NCA2Ke6rYVUm1z6D/kQwA2c0lmlZFwBaEZ/uoZU0qvTWEKtg4xebEYIKOk78JEtK7HkDR3HSs/C5mKYkeaEIIDaOcomnB9VQz+xCqCz3YRu8LXx31dITGnMjg+l/gbZiOHmhD88ZAWnSuvA0pJYee/DgNc64hte2vlIcdHatKaje1Qj+RCavIHXoBb8OMkcMJXFqQgcKr+PRmvHrTKH5DyDOJYm00YxkgV9uLEAqlWj+bB35a3z4mfCZLO77FUPF1vK5mgq5OvHoD+WoXPr2VktHLmMhZbBv6db1zyrTLbBn4GUs7vsmB9IOEPBMIusaMqgtoip/KW9I/Q6U3mNpwDeOj51My+ujLPI9bi9EcWIYQGht6bkURbha0fp6yMQxYtIVOxJY2AoVUeQsbevfT5F+MV29BETphz0S6c88c832HS2+Q8M2lM3Ia/YUXKNV66Yysxu9qYV/yPgLuDvrFRtpuvpXU3/+GMTBAYMVy/IuWoGjuY473XxlvFywEjNILtvhf+1D824REUrVNfIqLA7lnOZC8q66Pb1gp9iZ/S8muMjGykg5XvJ7br0iDhBIi1WNhWc42l0ch0Rii96g3JhtJS0sjVtzNsFkgGPAwdepUhnsHR4EFQFTz84ehlxACVkfmsjwwiYQeZHeln6/0/IPVkbnsqvYzz9fJo9k3+WfWaXHMWiW+3vsAX2+/iM5yjGneNm48dDfgtOl+suUsXsrv4rdDL+BTXHyp7Tw2l7pGnXtzpZuyXeOW7r9TkQaWbwkn3HQKmUe2oDUEKLy8v76vlSlT2TuMZ3IjhaGjtHIEaCEPlZHVhrRs9I4wbRfOcdjVS8ZQXHdw1P7+BZ1sMXo4VDuSS95Z7WdroYulLWNRPS7HG/yqJQz8x/MElo/HP78DLREguPFI2uzBXw9x6Q3NDPbUSA8ZzFjk+KT7ggr5jE3XHgdE/nHnIKdfFscfUkm06iiq4KefH91Z8+oTGa75QhsvPpwBoHmMy5EGieq4LYGsSTLbKww/n8PM20QX+il3V3FFdfSwSqXfwD9JofOqBnZ8rQer6Kx68lvLjP9II41nhHHHNXKbywRneBCqIPNaierA6BRCdchAC6oYacsBlBGgAPB1ukFA60VRzIyF0ATRpQEy6wuITpU7KzU+EDZRNDe5g8+CtMjs/SfRSeeBopLZ+Q8ik86h75VfYptlbKuGJzaJ5sU3kj34LNKqEhm/itLQVqqZvZiVFG3H30L/2tup5Q6haF4a5lxDaNzpeOJTyR18btTYS/3riU5aTWloi5OSAmpmjrIxyK7kHwm6xzGj8Tq2D/2GYq2boGsMMxo+MEKoG815iHtnIaVkf2a0Weah7BM0BZaxJ/UXFrXdiilLrO/9JkH3WKY3vJ8tg79AU/1Uj6pTABh2HlvW6Mo9SaCyg1lNN7Ch99t15z6XGkag1cmAAF69kYoxjGEXRnlL9OVfYm7LJ2kLnUpvbs1IS6uKEBIhNLKV3Sxuv7XuXdGTf5a20ClkKjtJljYxNnoO+9L3jhpf1DsdXfGxK/knevIOmPQVXiToGsPs5k/Qk3uGPam/4G7+FPErr8Y2Kig+H7r+zq4q4O2DxW9x/Cz+MfL383HsUP+tw+kWUjGxOZS+rw4Uh0NKg8Hsg0yMnApI0maRhBYgoHgopmQdKABqFRtpaLhUtW5m5FY0VFRaXVEUYN+B/by5cSO/XX4iJWFjSBsB+FU3Giqby13YSC6LL+Pu4Ycxj5LimOZt5bjAJBCCL3eP5kKW7RoFq0pcC5IyC+hCZZqnldPCM9lfHWJN3tGiydsVtpV76HQn2Fk5km5QUXAJjZDqpWIa/KPyJtNnnUPrpJOo7Rl2JvbFYwks6kQaFtUDSWIXz8Poy1HdN4zwaCSuXAyqimd6C6VNvRTf6KLlkyvpvvlhQqdOIXzqVBLvW0rm0a0oukrs3QtQfC5erew75nc5ZKdZqoxHDbiwshXSj22j/Zvnknl4C323PY3iczHjikWUzw3y1IN5cmmL33yjh5t+OIZazca2JH/9yRCnXhzFOOon7T9U467v9tEx0c1FH2ocYWSPPrdtOSksgEWnhNB0gVsXZN8ocuCXQ7ibdVovjDL9Gx2YWWciT60tYtckvg4XlmnjHeuiljTrQHHUDUdwkoeBx7OoXoXwXB9W1SI4wzsaLAS4G3XMnEVwugfFJVA9ClbVpnl1BD2mceCXA3Re2cD2r/QQmOxh3Icbic4PsEAFDwoZqgRLg44MuVlG0X34W+bRvebLgCQ27V3U8kfqXUahj9LQFmJTLsS2akirhjc+FYRKdPL5DG++i1rO6eKyzTKFvvXEZ1xGsW89wTEnkpj1XgY2/ByzOIDQPEhpEeo84cg9pnjoLzitofnqfnYM/Y5x0fMIuyYgFJVUaQuq4mFF5/fZ1P8T8rUDNPoX0xY6GUvWkG8RQnS0EiRR73SnSJ3828ixD7A7+WemN16LR0vUfTIOh1d30oTg8CZUxc/0xg+gKV4ksi41vnP494BEES5mNF6HW42za+DuUWOomENUjGFaAsfRHFiCEAqWLI8o2jpzg0dLMLvpBtb1fIWEbx7toVNZ3/s1TLtMY2AhneEz6Mo+icQi7ptLo28hmepuxkbPwbCLDBadVGG+dpCalRmpeYAlK+i+IP+dLhFvt8B9uxDiOeC4kU3vk1K+8f/ykX+LkEhSZhGvomO+JYd6OA5vr0qTgOrBRuJCo2Qea1okTfC7PEirjFvRiar+ug1rpVjkiosv5fs/uJ1IKEx45PwCKIkhvtv38FGscMkkTzPbK70I4KTgNKLSi70jyZ5xJs16mLQ1usglhODPwy/zqdaz+GLreeyq9JOxSrxZOjRqvyeyW/hY0+l8t+8R0lYRDYWrGxz9q7RVRBcqH2lcSdoo0VJ24eqI0njdcU6d4i8bEC6V+CXzES6V8BnT0BsDSEuCIpBlA8+EBIEV45203KNbsfNVAgs6ST+wCStTJv6ueUjLRmsMkHlyO8efNI4XGC07scw3weG86C5avrgKbEnh1QNkH3NoPlbVZPAna1j2vQvIVQTFjMVxZ0d4+m8pZi0P8OoTWQa6akgpiDdpeAOOAGC0UWPRKSEmz/FRLlkEXQozlwbY/MqRFdLs5QFCUZVP/XgMmgYeBbAE3X9LMe5DjShehfz2Mrtv60cakvA8H2OvaWB4TZ78rjKBiR6HnBkaXQ70jXWj6Ap7fnjEEjO3tcSs73fSeEqI2pBBbnPZ4Wpc00BlsEbn1Qk8LS66/5Zk5m0dYINVsqn01phwQzPCLZjz8zFI+/8h7y3DJavube/fXFLutd3a3ZumlUZagMbdQkIgikYhIYQQLEAgREmIkZAESbAEgjsNNNDu7tv3Lvel74e1u7o3zT2He9/DSc69g4enn12y1qxVq+aY8y9j2Gz7QRflDodw4rP8pC4K4vXXERt7NokNf8FbM45853IOTGKWUUF2hzErGYJtxxBomUNm54uU+jYSHXUqlmUiu4IMOeHn2KZGassTKL46FG8MSysQGX48+1+9tqqIqwYaqZv2RTrfvpX4uPNQ/Q3YCFSPU+Vl2zYRz2jas45Me17bx47Eo0xt+AYf7LupKtMRcLVWHe1k4cKwKiiSh4bAfLryB22J6/wzKBsJJtZ9mUx5D6Nqzie1fxOGnadsppCEws7EY0xp+Coben5JprKDoHsoE+uupCu7jLbwEoZETiJZ2szG3oPhLYAxNZcwt/VuKmYKn1rP9v6/0hY5ESEONxaSJRf7sy/QmXvTOXZ+KYfujMpGP7pV5Ogh92Fj8n77DVXTpk29v2No9FTmDfkx2DYFrYuKmaIr9zYCwYjYWcjCNXBMURUMdMlhop5xh43lk8bHlSifDWy0bXvVwN8hIcQs27bf/0/e+m8NC5uyrRGWvChy9CMJw63EsWwbVchICIqW5rjQhWXKh1hyCgEur0TFtokqfjxCpXNAilzXdb58wWWcev6ZnHrmadhAwargl9xYOM2Bza4onQPqtW6hclnt0chCQkFGLZioW3IUR4R5PPkCX6g7lh91PV+tyjojegRR2cfVjcezudTJEHcNObNEn5FlqKuGTaWDoZYuPY1t23y/+UyyVomQ7CWvlYjnFX4TuNCxj92fx9ccI79uN66hUSS/i977364eo/snr9Pyg9Po/9MHWHlnDEKVabv3TLrve5PIorH4Zw8l+dhqpAEL1exLzu7mQCjKPTxO/FNHUrc1xRfGHMXTlfXISJwXmkGtEqTjO88SunQ+b68WnHiqj+LqwaEzgPLmbqYfNYRAWEZWBX1dOtEahfaBsNOWVQVaRrq55LomdmwoMGqyn5f/lmD5q1kmzPJz5MIwJ10cZ8hoD7s3lRg2wcvEmX4sGzwuR64jt6VMqV1j+OV19LyYoWZ+iI6/HlQdDY7zsu9P/aSWO+SdXVeiuLfCkEtrCYz2VOeN4EQP/W8NztvYBqRWFMhtLhGZ5qfprBhWxUJyC9w1KqVODVdUITYzQGm/ho3N3t/1MezL9ZgFC22fQX53mdiRAcZ8t4k9v+sjs7JI9v0CzSeFeBnBac1zcIVaMYqJQTLlmZ0vUDvlMvrWPUho6HF0LL1lQAIEXMEmQkOOc1zw3EECLfNomHOd4+2S68RXP5VKZs8gC1U934WlF2lb/BMk2e0o0gqBkBR0s4hh5Yl5JxL3TiFRcvJdw6JnsCv190ECfHltP+nyVnYk/0bFSDG96dtIKDSG5hHzjUcSKgFXC4rkx7JMunLvsDP5OEOjpzG79Q4qZhLDKrC9/2EylR0U9R4m1V/t3NdmgVRpM24lhJswndml1PinEPWMI+geim7l6cm/VxUA9Cg1bO57kP7iSipmmhGxcwfsTJ0v1e9qwavU0ZVzypUHe10chGEVSZW3EPEMDj3bmLRnXqU+MJve/HLivkkDelHO99SdX8bMllvoK66kJbSIip5kWOR0WsILUcRHyN1/wvi4YahfAdMP+Tv/EY/9j4NAYNo2mmXQFj2b3YkHsQ+5cSXhoilyJoqQEAgsrIHGOxvFJYjVq+QzJpIEoRoZZBsfLhhwkDBsC9u2uf7LX2PkmFFccs2XEAPtaC4hV8UIM0aRY0PjmOJtY6KvhU49xU+6X+LUyFSOC46n8thGMuu78N+6gB49w+PJ5Xyz8SQqlk5A9hCT/byX38HGUgdRxc8/0qs5NjgOBZnZwZFsK3ezo9KDQLA4PIHdWh8PJ5ZxV+v5qJZEqEum976X0buyKLUB6r40D8u0cM1rRtUV+p/90JrAhtLaDjzD4xQH+iQavrGA4uZuGq45DqtQobSph9Cxo9E6Mod5WwAYiQKSTyX/q/cZe2Qr4xbMwtUUIeINk3x8Df4pzRT+9gGjT5qHrjtJbW1/GvfxY7AbQoj1nRjxMA//uJtSweLzNzVzwTX1gM3QMR42Li+wZmmOMdP8dO+rMGFmgN/d0llNir/9zwyGDseeHmHyPD8TZwVweUFVJYy0CWUbS7dx16rYuo3slVBDMqX9gxv0gmM9tD8yOC6eXlVkyGUw4iv1ZNYUwYbwNB+J93Lkt5Ux8gcXGa6IQqXbYN+Kg5pRLRfG6HkxQ8OSCL2vZihsrxAc56Hu+DDjvt9CelWR5Lt5MuuLjLy6gcTSHKVOndqjQ9QtCLH9nm7UXpOThodBS9K76n58dVOJjTsHdedzTsipdy2yN07rcT8gs+vlg0QRasVXN4n9r1/PgUkxu+d1GmZ/g+4PfgJAcvNj1M+4Em/dZEq966rjtvQitm1j2xay6qsmXA2rQF7rJOQewtjaSxGAYVcQCHryh683DauILNxYtsae1NMMjZxGV2YpI+LnsLnv96TLWwl7RjKu9nMokpeJ9VewM/kEEc8o8tp+ticeqR6rZHRjY/HO3q8NPCJoCMyjOXQc9a5ZmHaZptDR9BfXEfNOcPy/rQrv7PsGsuQkrRPFNRhWAZ/SwNzWH9KVfxevUkfEO5rVXXdjD4SLe/LvMbbmMhLF9RwMQ8XxKDFMS2df+gXG1lzKht5fYdmO29+Eui+RLK7Hp9bRnV82qOHPxqQn/x6zW+9EQkUImYh3PJJwo8ifbDL7o/CxE9y2fVBNz7ZtS3zYbPd/ICQhCMteEkaeeGAObqGyK/UYFaMftxKnOXIWNYE5TuOeWaFGDWJiYdo2QoKKR8PtklAkCVOYdGuO1pQA6tQQYdnLq2+9wd8ffowxE8dx2qyFKELi5ttuZeriudWwkw38tvcNbms5h7X5vTS5o9zZeh7tWhIdE4aGMN/ZjSTJLApN4KXsBm7ueAqPUDk/PouJnmZGehooWBrdeoazojMoWRrzgqP5SdcLnB+fzeWehZQsjdWFvTzQ9xYmFmuL+5hvDqXrvrfQu5xVr9GXp+eXS2m55WRyj61HSBKu1iiF5YMlH9TWCGaxQnFdJ1LQjasljJxykXxyLeVtvXhG11VFB+WQBznixTzE1zswd7jTGS6gtHw/Yl0XNXedjtlbILJkPNq+FPn39tA6Wmb7ujLjF4/FPGU8j+ZytOsGM08dy7GBEKViO7pm89yf+jntslpUt+Do06MUciZ7tpR55g99XPCVeiyDKlEcwPpleYaP97J6aZYzPl+LS5HRkya7f9dLYKQHq2JXE8tChhFfa8Add2774HgvLefHUMMK7nqVwCgPRs4ku76IcEtgwcYb2jEGzqkEJcbf3oqv2fmR732gD9kn4x8QCwRw1Sp4GhSiRwYIjvWSXlug/60crRfG8bW6MXImsl/CN9zF3j/0MfJrDez+bS+l/c770ysKtF4UJ350gNBIDx5VQddlFG8cS8+j5wo0zfkuerELU8uieCL0b3gId7jt4PfSPJv0rpc4NJRilPrRsvudXop8F2CT3PwYsXHnVslCUv14a8ZjmwIhgkiKCwDNyNOT/4CAq5Wtib/gliP0F1YzJHoyqvDTHFpAsnRQt0qRfATdQ6rlr5qZxcZiSHQJ63p+Srbi5LiSpY2s6b6XyfVXk9faiXnHYds2DYF5qFKIrtybeJRaRsTOxradKidJyBzZfDP9xTV0ZF+hLXwSHdlX6ci9AThCgfWB2bSFT6QlvIha3zRkycvctruxgdXdd1Mxks5z/ml05d4e7KVtCzxKnBnNN9KTW4Yqh2gMHkWuspeQZxirup6lwZzDjKbvDpCFC0m42dD7S+a0/pD8h2RMnOvhRxGOn45L+eST2P8RPu6Ev0sIcQ3ObgLgCuDwzOT/MMhCIqr4CcoeNNukPjiPmsAc+owchm3il934B+TIG1xh+vUchm1RqwarftqyImHbNr1GdtDk36fnaHFFOWr+PHaWevBKLmqUIAIn/LVfSw4aS9osotsmUwND+KCwiwc7D4Z9vjjrOKa0HserhU3MCo/gmOBYNpU7aHXFiSsB3JLCz7teqVYVvZPfxsXxuYRkD0mzwBvZTTSoYW7qGJwYdw/IlB8gigMwk0XMTJnca9sJHjuSwNxh5N/bfbChbkIj7tYoal2A0NGjMMs6tgl9f3ivKhhYXN1Od7JI47ULQZVovvFEEg+vROvKEJg5hNCJ47DLOi23noLkUcHlTLCZlzcTXjgGV3OY0JJx9Cq9dPVEaJvn5bZ9nfTrTq6ovaKRMWxmnBBi2dMZMkkDj08gK4LuvTpTjgqy+Pw4esXC7ZMGKQcfQLRWoVw0WfKpGmTFQsvrdD+TJ7uuRMt5cTbdeDABbJvQ/lCCkV9vYNjldXiaXcgegWVaDP9yHf1LcwRGemg+O4aeMeh/M1slCnCkQPpey1Lar1Hu0hhzQzNChsLuMmO/14SkSuhZR5fE0ix6Xsrga3Mz/tYW9v2xv9rgF5riZdgX63A3qigBuUoUB9D9fJpxNzWDf0AuWw7SMONqklseR5JirP9GH2NvaiCz60nKiU2AIDzsZlR/PXrho8MoHwVLL+GODCfQPBvJFSI68mSE7EEIH4r3YGzftEsE3G1s7PklNhaTG77CvsxzbO77HQAjYxcwvfF69mdeRJXDtIQXDOwMnPE3BY/GLUcRQq4SxQEUtHYkoZIub2NI5BTS5R20Z18hU95B3DcVzcywNfEQY2su4Yim7yCQ2NT7W1JlJ/fVGj7hMEe9nvz7DAmfwtDIKVWJcsfR7kRaQgvY0v8HdqeeIl3aysT6KwDoyL2BW44ytuYzbOy9n4LeScw7kZLRz57UMxw19CcUtE58agPd+WV055chkJCEmxnNN9AcWgAIWsOL6Mi+XjU3cskhGoPzcSn//SGnj8LHJYsvAz8DvovzLb4KfPGTGtR/J2QhIQsJ1ZYxbduJ6Q88lzcrjrSH4kOzDIdQ1BA5s1xVhJUQtLiihynRWtiY2MSVADLOj8e0TSq2gSwkXOJg1RRAmytOn54lrgZ5NDF4a/7n/reZNPJCFjCJ7aVu3i/vZH5oDO/mttOoRhjnbRpUfgpOIvsI/zCuazwZcIhBQapWWEVlPxPczVgZbZDVKYAc9WLmHAkDd2uUxKMrqLn4SIRLRg56nGS2biJ5Xdimib4vixz0DFKWBdD2JrFNC6MzQ+aVbUTPnoJwK1hFDbug0XHbC5ipEghB9IxJyCEPrtYowquCDcE5w8kaXcw+LkjBsqtEcQDvFvJ8c0Y9y57OMO3oAGvknWStEkeOGUlN1oPHL2FbYJk2siI4+rRIVbbc5RacemktkbhMuWSSTueJyF7yA3IctmEfJqKoJQwkj0RovBfbsrE0m0q3zvYfHkxa97+dY+yNTWQP6equ3hNli7rFIcpdOrnNJYySSWi8F9krs+2uzmqCWgnLjL62kS23diAUR/rjALJrS6RXFhh9baMjPPghSC4JoQqoCAzFRPG6sOwgsfEXYJUUJEWw5/4SbZ87j57MndhGmd5Vv6ZxznVo2f0gJLw14+noPRhKUbw1uKq7CgehoQtAKNRM/iwIFYSE4vIeNh6BjFuOUDFTNAaOxiPHmNLwNXan/oFtm7iUMGUzUY3/q1IQjxwn6h1PU3A+Uc8EbNtGEgKXHEEz09VjK5IfgUSNbwoCgV+tZ2v/AxhWadBuZWTsPFZ13sGsltuqRAFORZUQMvYhv12BhCoH2JN6uipR7jjaPccRTd9BlQLoVp5UeRO6maPWN4Na/3SEUCnr/eS0vRhWke78O9VjGmaZVGkzY2svZX33z9GtPJJQmVh/OW6lliHhU5GEQsVIMbv1dhLF9Zi2Tsw7DvHx+qb/W/Bxq6F6gQv+V88LIa63bfuO/7JR/QsgCYmypX14fqBoacSVAJptIAtRTXIfgIVdVZk9VCLEJWRkBBYCG5uiVcEvecgYWQSCWjVIwihQsXRUIfP52mN4L7+TY0JjqXxImrtk6ySMHC9nNnBCeBLjRBM3tT/JDU2n06CGyH/IxwIcEtRtk4f636VDT3F29AjuabuQD/K7mCjqabbD2O0lTKD+mmPo/vHrGH155JiPhq8eR+ZVRwPH0kyUiJfUPzcQ/8yRju7T0h3k3tqBf+YQYmdPxTu2ATNdQgq6qyZHAJLfhZku0f/Qchq/voDCqv3k3tlN5KTxpN7c7hAFgG2TemodLbecTPvNz1N/5XzcI2uxDYNaVy2pP7yF5+pjP1SBD3FVwajYLL4gSmxuhbuTb2Bg8YqygVtDF7L6zRyvP5nC0G2GT/By7hV1zDguRCZpEI4pCBn2bivz8I97uPjbPqJtXvyjPBT3Oh4SrloF7RD3vLZLaihsL7P3gT6MvEVsjp+W8+KMvr6J/NYSvS9nqHTrlPZWiB8VpPelTDWnLGSoXRBi35/6MUsWjadFUOMuCrsrYIsqUQAYGZPE2zmiMwP0v5mjbmGI9MqD1W/FPRpGwSI2y094qs/Jiwyg9cI4QgWzZFPeWcHTqOKO+7AMN0LojLimjtyWMnoiStPMn4KURvH5SO94jmLPagKt8wg0z6F1wZ1k976O4okTaJkNQiEy+jS0zD78jUfiq5tE94pfEGqdj69xBrIa+YhfFUhCRpE8RDzjGB47k2X7ryfobmV49CzcSpTtib+RLK1FkfxMafgaAoXh4Qvo7zLp3CrjnW6xPnUTzaEFTKj7Euu6f4JpV5CEyvi6L1DSE4CgoPUQcDcjOLxiCWx0K8+HW8P6CitoCy+plqMCtIQWAJDVdvNh5LUO3EoMXcvjV5sx7DJCqMiodOfeoc4/g5h3UrXcFRydKEkI4r5J7Er+nckNX0UICQkFtxIHbDKVrYRcI1jf+zMKWjthz0hsYGv/g8xtuweIfuS1/e/Gf1Xe4VzgfzRZgCMA+GG4hIIsJLzCRd4sH2ZDCpA1y9QqIRJGnrKt4RIqMcVPdkAzKmeWBxr6HElBzTbp1XOEZS8x2U9R7uNXPa/hlhQWhMYz3tuEbpssCk0kJHvp07PsryR5J7+dWYGRGLbFSE89ObPEG9nNTPW3MdbTyJZDeidOi07j9ewmPld3DLd2/B0QhHpMTgqMpf+h5exfths56KHms7MQw2ppvmmJ80ZZIFwy0dMmEjpuFEaiQHD+cECQf2cXhTXtuIfFafrOCXTf+xq5uiDhhaNJPrmG2ktm0fvrd7B1ExSJui8fRe6dXai1QfLv7SHxyErnHJaN1p7hwzDSJSSv6nhoCPCMrqeyeg/qiAZ6dlQ4IRzmhVzmwDC5rKGGRktma/0mfpdZWf1uXEKhlLd4+ZCqpV0bSyz9Z5oFZ0X58z19jJnuY9q8IMteyKC6BHXNPoSp0nhqhHKnTvtjCUZf20jHE0lK+zWiM/yEJnpZ//V92CYExnioWxxh5309lNo1wpN9jL62iW13dyJcEoW9ZSbc0UrXMymwoeGUKF3PpMlucAhyx497GH9bC/4j3fS/mjvsWugZEzUk44opgxLiALE5AdofTxI/KkjLBXFqjg5S6tCIzQogeQVWyZkWe55L03xuDFu30ZIGnmYV2SfIbizR93qO+NwANcdGSGz+C/76qVhmGcUbZ/9r30J2Bag/8hrUYBNGvgfZE8ZffwTuyCj0fDv7XrsO2ygjjzwJbAvNTuO2I1UZnQOQhAfT0hhX+1ny2j5Mu0S6vI013ffQGJzPqPj5yOLTSELBtC16CsvIlneR2XQB+YyGp/QMFTPFrtQTjKv9AnPa7sYwC6hyAJAR2FhYyMJLZ/YNhkVPZ1vioer5a30zkIQCCAyrSJ1/VnUy35d+gZktt1Ljm0p/cTVhz0hcchhZ8hD3TiFT3n7IJxHEvZMGvDjCjK29FK9Sg24W6Smspmz0kdP2Mip+PqZdIlFcj1etY2Ld5Qjhpju3jLG1n6UrtxRZchP1jqMru5Sm0NHsST3PhLrPY1olbKyqVhWA9RGeNv8q/FeRxf/4bm5wEt4xxU/KcGQ7VCETVXxVOe16NewoSSIGOeX5JBeS7YgR6rYH3Tbo1TPotgXYRGXfgNKrICL7qu58/UYer6RiYVO0Nb5Uexx+yc2XaxfSpaf5c+Id+vUccwMjOTo0FlXIdGhJSpbGFG8bQ9w1/L7vDdYU9/LNxpPo0TPs1RJM8bWxtdTF85l1xJQAJ4enssAagep1k3llK0ZvHldjGK09Te6NHcTqgnT/fhl6b47AzCGEjx8HEmi7EninNGOVDFL/WEf+bSdmXN7cQ2VXgth508m+spXg/BEUV+xH9rpovvFErJKO5FORYz7MfAVao2QGSmcBytv78E1tduRABiBcMkrEi5WvoNYGKa5qJ/3sJuJXHoOEyt+/18nRF8a4eUIzfbpOi+oCo8JysZNNlfZBJD7UXUvn1sN3W/u2lamULT53fSOyBum1Rc4+M4qv1Y2tmGSWFSnsrjD88loQgv63snibXYSn+FAjMlrSrO4Ums+JseOn3U5jHpD6oIBtOY97WlQUv8SuX/UQHO0lfnSQ5Hs5EksHk0Lfm1kaTo4QmeGn/a+JQytbic8L0P5YkhFX1pPbXkb2OwuZhiURLM1ixJfryKwusveBPjzNKq64gpY0UIMySkgmNMlL66dqSLybo/MJpyR88o/b2Pz9g13lnU+msM0I9SdfgGWmicVGs/+168A2CbTMpZzcTufbtwE2QlJpnPMtXIEGCh3vYhtl3NGRyO4IOaOd3elnaQoeQ9Q7Ho9ycCWsyG4002Jj728ZU3PxoM/flVuKYZUYW/NZ2rOv0Jl9cyBcdRRHHOfHxmRz+mCIb3Pfb5GEyqTaKxEuBVX20VtYxb7M8xzZdDO1gRlky9uZ2vANEqUNRDxj8Cq1aGaOI5tvoj37GmNqPk1T8CjS5e3U+KfikiNYwpEMt2yDjuxrxH0SLeEFlIweunPvosoBRsbOw7TKzGm7B8uqIEtedLOAInnpyr9FXttPe/ZVXHKEoZFTGFdzGQW9i+2JRxhX83mGRk9le+IhdKuIZWnVvEzMN4HJ9VeTKK2lJbyY7YmHq5/Xq9bj+m9wwPu4+K8ii8Ozh/8DoQiZkOwlIHmwB/7r03NotoE60JBTr4ZpckVIGQUMLIKSB5+pYPRkoDlI94ANqlMRFURGomhreISKhYVXUmlSIxSsCi6h4JNdJOnk1pazeT69lrxZ5pz4LO7pfq5qKfpabjMuSeWo4GjGeBsRtsDEZH1xP19pOJEd5R5eyKxjqKuWHj3DL3teIT0gfNippbgoPofUDS/hv2ERxoIWNs+FsPAwtBIiZLrouOV57LITbsm+ug0hS0h+F55RdVR2JfCOrh0k+QFQ3tJD/MIjcA+PIxQJ3/QWckt3klu6k9CJ4wgfNxrbsPBNbHSuhixI/GUFVlEj++Z2mr69GNswyb+3F7UuSPyiGaSeXo9SGyA4fwQdt76AXTEoZk2e/XuOcy6v57k/93Ns2E1ri0wpVyIS93FEcShNoSi3l/9RvQl79QxtIw9Xdx0+wYsvIGH2mqTXFvHWqyReyZKNyDSeGiW7uUTNsX6EIsisLdHxt0P6bgRM/skQhOwku4UiqkRxAJk1Bdo+HQcDdvykm0qPQXG3RqlLIzTRd9h43HUqAshsLDH6W010P5fG0mwaT4+geCWGfbEOySfwD3Ex4sp6p1v8vTwdTyRp+3Sc4kAVVblDp9yh465XGP2tJizdQnbLGAWTSvdAHiQgoafNw7rKE+/mqTu+jo5l19I0+9qqOm2geQ4dS2/mwE/btnT61vyW2PjzCQ8/gfCIkxCygqHarO35EbqVI1Fcx9iaS2kOLsDGxijooCtIfjeK5MElh4l4xpIuOwsHWbgZGTuXfakX2Jt1zIMkodIWWUJW30BQbqLJP49U6ZA8g20R9AwnlS+RrDxDb/F1TLuCbmW4t/vHXFH3VfyKF69ax/7MS6zPvgpA0DWUCfVfxrYh6B5BxDuOot6HZmZQJT+mrSMJGZ+rCc3MUS4l8Chxjmi+AdMq0Z59ne78MsbUXEJ3fhm1vqmkS9upD87Go8QPqd5Ksy3xF+K+iazv+TmGVcSkTKa4k5y2n4I2WCW6qHfjVqJs7f8Ls1tvx63E6M69g09tZEjkJDxq/LD75l+Ff9udhRDiROCngAz8zrbtO/+rz/FRcBLejmOeblvIQsK2HXXYgOx051Zsg4jiR0YgDDC7MtiW7fyN8/OKKwFKlk7eLOOTXNiSo3ALzg7mgBdG0nBi0dfv/xsFq0JU9jO13F0ligNYW9zLlfWLKZka60v7qwZIABfF5xCT/TS7ojySXDbofXOCI1EticZvL6bHVeL6vieqxx7raeS6ytwqURxAYeV+4hcegeRRMLIlQCB5VazCIVtiWSAUidCxo9DaM9ReMgvrgiOwDYvK3iTp5zbgn95G/0PLMRIFArOH0XjdIjrveAm7bJB+bhOxc6YSPnE8QpYQLpnQwjEIWdB7/9vYFQMUCcsWbF1dZO6SMJfc6eU3vT9mf243ITnMJa6rkB6O4Imr3LHkfN7WtlGnhJjhG4ach9M/V8sLDyfQyhZjpvmYe2KE8j6N3JoSnkaVHT8+uGpNvl9g/C3NCFlglq3DE9Q25LeXGH5VPXt+14ekiCpxHICnyUVuc5ngeC+VnoPXNLu+5Ow4mlTKA1LqoYleauYFyG0ps/f3fXgaVWJzA0iqwCzbJD/IEp8dRHIJ0quKdD45uGE0u7GEp9E16LHgWC99b2Tw1Lko7q1Q2FVh5FcayO8qo/Wb1d3JoXDXKAhZ0HDkNZiVLK5QmyPrYZuDPxygF/uQ3WESmx6h/shr0GWTZfu+PkhHqT37MrX+I5ArIQyziHDb6O0yE5qvJFXewMT6y6kYKSpGirBnFAKFtujxuNUohlWgITgPbMG2/gc5oulGanzTGB29iPb8a6hSgFHxT7N8i8Q/3xNMHHYSJ848md2Zn6BIPvr0Hr7XcS0/GvJLunLv0D5AFOA0+6mSHwkFISR2J59ib+bZQZ9vRtNNhN2jUaUwWW0zu1N/P8QpD+r9s1AkH1HPKLb2/4lsZQ+NwbmMiJ1Lury12pld55+FIgWZ3ng9ezPPUdJ6USQv9f6Z7DqELCShEnC3AjC14asoko96/yzi3onIkucTdb37P8F/FVk89l90HACE01d/H7AYaAeWCyGe/u+ydbVspxJGQSam+IkTqNJAh57EHCjDdAmZWjWE3BjEbM9C2SDqdsJYbkmlX8sTMl2cOH8R5UoZyzQ5+czTufrGbyIh0G0Tl6Sg22a1G7tgVYh/RKlciytGTPYjZD8x1c8Ebwt/7n+bdj3F31Mr+W7T6QB8vvYYnkyuwMbmtOgRNKsxVM0m15fmb4G1g0hoe7kHIoffkGpjCCNZRK0LosYcb/DYudPo/+PBxF3klElIXhW9N0/2tW3VzmzPmDpnx9ESof37z4PprGTz7+xCDnlo/NYihCxhJItkX9mKVTHIvbmD8OmTcLdE6P3l246tHRA+YyqrPhioTnIVeaj/t+yvODucrJnh1933cP0Zd6O9oxMrmJyttKBItXTf8jKVnQnG33E64+5tRTGcDvv85gKKR8bT6qL3xYM5E6FA3cIQQhX0vpwlPjeAf5j7sLCR5JJwxRVGfqUByS1ou6SWfQ/2YZsg+yXaLq4huTxPaJKXts/UIKmC/PYyiWV59v8lwZgbmtD6DWzDRo0qdD+Xwao416fcpVfDRTXHBKlfEmbvH/oJTfISmuA9jCzCU3y461Xy28s0nR5FCckoQZnUB3n2PtjHuO+10PtKezX30vtKFlwGtYv89L3iLFAkj6Dts3GKe018o4diSzYNs79B/9o/YpkVFF8tRvGgAqu/4QjKia2YlSxYJoYoDCIKcPokhC2oKD1syfyBotZNXehIhorTiZuzUBUFn1pffb1tOx7TTSEn3GjYZTQzycyWW+nKLSNf2c/I6EXUB2Zj2ip/flnjzXVpABJZg6OGBZkiXYa5YRf3tv2EldZa3sy+xbHhEzCsEn2FlUQ8o2gLn4SEB7capGykyR2iF3UAucpuuvVlDI2cik9tJOgeWq2IkoWb4bGz0IwMW/v/TEHvdEJXmLjlOLNabne8xpUYLjlKUesjIOoZE7mYkp0gV9lDS2ghhlWkK/cOHiXOyPgFKMKLrGk/CgABAABJREFULDzE/QdNR2UpctjY/h3wH5KFEOLn/AchJtu2rxn49wf/xeOaCeywbXvXwDgeBU4HPlGy+CD7Nk8nHyVp9BOR48wLncyCyCJUIZGzylQso0oUAJptYtgmQpURioTVXyTYGsbrciENyJ+HVC//fOV5/P4AsglHzz+a2YuPZtqsGc5B7MHbMs022Fbu5vTIdJ5Or6ruUj4Vn0vZ0nk1t4nl+V3UqkGurF/EQ4llbCp1EJA9VCydI33DmOYbCoBXKLg1CatiIGJeipXByTJFyGgeaLppCeVN3WRf24alGcTOnkr+/b2UdyfwDI+TfHIt8fOm4R1TT2lLD+4RNSgxH92/XEr0hHGD1GTLW3sp70qgxv1VojiA4up2QseNorStFytbprC2g7ovzqO4vpPgnGEoUR+tPzwdyaNgVnQKZZm3bnQmq1izIJHowyXcaHZl4FpV0L1lQtO6sY0YPS/5KezoZ9ilR5N44C3I6thZjR0P9mPkTGqPC1F3vA+rbOGpU/EPc6HGFIKjvfQvzdHxmJMQ7389R82xQSLTfaRXOeG82NwASlDGFZXZ8ad+8lvL1C8JM+neNsyyDbZNuUen9pggtm6T21Ki1KERmeZn7A1NCLdAzxgkluXw1KqEwwqZNUUaz4jS+/LgPpfwZB+7f91HcXeFyHQfrphC83kxuv6RwtJt4vMCeJpc9L2RZfiV9Wy9vcPZyQioWxSi7eIa9IyB7JUo7KhQ7tWpOToIngre0zsYc0Kbk0Cvsyl5dqBvbYAA7PP/lVRpM0NGLcTyhGia9x361z5IJbsXX+1EQsMW0/Xe3USGn4CQFBTZT9QzjlTZ8YQQyIyKXwSmwvKu71elwfdnXwRshrjOxi3CmJY+YHzkFHx4lHg1Ma7gxqM4Xg1x9yK8lo6VK2MKgeny8+a6g+XZXzneh+up39Gx0ZEPER4P0268FSkUQZRtRnnOYaRyOna5gsgrIJcxXBaKz0ed/wiSpfWDrnvMN4ndnU/TFl7MjuQTTGu4lmxlN5qZIeabSLK4nu78e4yMX4gkZELuEc5uRVLQTQ8Rt98xe1KCeAfCR0Y6BSt3ER3VgmkVGBo5gyGRk7FtC0lyIaH82/RR/Gf4z3YWKwb+nQeMB/468Pe5fLITdzNwqBhQOzDrEzwfH2Tf5uG+36ANKM+mzQQvph/BxuaE6AkAg5LaB2DZjv6l4nMh+V3YthNmki1BXPZTsQ38/gBZq0S+mMcynN1EFcKZtGuVIH2Gs5LdWuri9OgRHBkYjm6bVCydv/S/y1mxGTybXgNAr5Hl1s5/cEPTaTyfXoeChCq50TQNn+RGU2xcJdB7M/Q/+AHCJXPy5RPZMOCs55Vc3Bo6Fe2pzaRXteNqjdB0wwnYEpiZMuETx4EiIWwofLCHwrLdBI8fi39yE2aygPCp1H5mJvllh5cYlnf04x3XcNjjrrYoelcW35RmhCQRnD8SJGi55STMdBkzVUS4FHr/+D7xc6fR3WMRiimc/fkYIU3i6tyVEHGxVdnGo4U/IgkJn9uLVtxGZc0Cel9wJqcd91kM+ewxKDVe1l+7jwO5766n06gRhehcPzULQmTXFfGP8GAULPpezaLGZEZcVc+WWzuR/BKtF9fQevFAfiJvogZlKkmdEVfXY2kWQpHQ+nRkn4QSkPE2O+qwm25sd6TFge6ONLZhU7soxIZvtle/8/FjvdXO7folYWflb9nULgoTGOuhJRDDXaeS21xi8y0dDP18LZPuacPIm6RXFtl+dxd1J4TpeCxxMORlQ+/LWcbe2ITklTBLFiO/Vo+WMOl4pBfZK1F/YRvt/n/S5/8ALZumwZrD8MmfJWWtozvvNIJuy/wNMn9jfP111E//ErZZoZzYSnLz40RHn4Y7MtyZ7HAzqf4q8tp+SkY/Me94cpX9CEWqEsUB9BaWMyRyKoapUTZ6WN97H0F1KMPjZ9GefQW3HCPkHoZT5uokjn2mgrX6PRKvvYwcCBK/4DNcfEyI51cX0QyLejlHfuNBXxU5EATTIvfma2jt+wjOnY+roZGeB36N3tlO9IxzCEybgTBM6gOzKeq9dGRfQ5F8jK75FIZZIOIZjSRUDKtIQe+kr7ASlxJhefstVMwEAVcbIffwKhkcgCp7QD58l65EooSPOharVEbyepDUf6/Q0v8O/kOysG37QQAhxOXAUbbteG8KIe4Hln7yw/uPIYT4IgPNgW1tbf/Jq/9jPJ18tEoUB2DYOkuz/2Rx9HhkJOKKn4zpGCFZ2MhC4JIUJAR21O2EeAXIptNbkTXL5KwyWDanzlnEzh07+dzlX2DJvIUYtiNvrSDTZe3l2oaTKA/0a3gklaW5rTyWdEzpD1DU4shE/JK7GrIqWhoVy+BTNXPYkG9n4k43SmeeNfNddBYznGGPp+fX71DzqRmodUFituD7DWfwdHYNC9yjUf66jexbO53P2penc2+KuiuPpufnb2Jmy7TeeRpmvkLd5fNJPLyC0Oyh5N7djbYvhX9mG95JTXjHNZD+x+AVWmBGK1ZRI3rGZFJPrwfLRqkPEjt7KigSlV0JUk+uRbhk6q+YT3FNB8kn12BXDEKLx1L32dl0/+x1RnxtIVfc1ozSl2L/117A1pwJeNiSUVxx0jfxByP48KCFp9K9/GA4pNylI9wucltLfLjSOfleHk+LyrYfOGXGsS4dNeKYELVeGEcJyYz9bhPdz6Yp7qnQfE6USqdO/+uOFlPN0UHCk72461S23LAfc8ClLzYnQGiSF0+9WiWKA0i8naP+xDBKWMbToCIUQWF3hegsP7t/1UP9iRHGXN+EGpEp9WjYpk2pvYK3xYXkkRh7QxP97+SQ/TL9b2ZJvV/A06ASnxtk9/2Hd13rWZPiuiJ1x4cwSza77++tPpe/pcyYu0+hy3oDgJB7BORlMq71hx0nU15L1lvDKOFFDTYTHn48CNkxQULBox5wa1PJVPawbP+3sW2TI1tuOuxYXrUOgYRuZVnb/WNMS2NEw1n05legygH2pv+JLHkZGjmZ/RlHbmTojmkkHnrQ+UxAxx03sfjmO5kRLtNFDCs7WFyy9lOX0PPrn6N1OKScf+8d4hd+hoYvX43e34uRSGCWyxiJPlzNLQxzLWFo60nYAlxyBNMqMr72i7iUAONqLwVsegsrqh3VAK2hRbjkMLZlIaSP1zBnA7ZpYOZymLoOtoXtU3HJhxc9/Dvj4+YsokAIOFC4HuCT7RTpAFoP+btl4LFBsG37N8BvAGbMmPH/qyIr+SGTlAPImSlkJNySQtYsISFockWq6rNiQDRQSMJZlWMhyxIV2yClDzRLCfj7ey/jKwrOPuts1m1YR3xMi1MNJbnwSi78sofH+5eyvLALRcicGpnGZ2qO4sH+g7IfqpCxPtQpHpK93Lj/Sb7TeArpB16m+aYlPJh8jE/F52IVTBquOYbEQyscvaZRtQw9bzpX1h6DlYXe9wYnw41EASHATDnjLm/rpbKjD//MITRdv5jun7yBtse5BUobuwgdPxbftBbiFx9J+un12LpJ+IRxyCEPStRHYN4wgseOAstGqBK4FCzNQPao1Hz6SMyihpmv0P/gwVxI5tmNuIbG8E1vwzRNZEz6//h+lSgAis9vZ9iSs+myy3SRxt3QQuMtflK/7ye1tEDj6VFkj8DTcLh7vbfFRfqQJrbi/got8+LYNlR6DfY80EfL+XFaLogjZIGWMyjt1atNcZm1RRpOirDvj/1VogBILstTtzCE5D58AlFjCpV+g3Hfaya92vG+8A9zE5nio25hiNJ+DckjKPfo+FvdlLor2AYk3snR/nCSyBE+ms6IUerWaDwlQuMpUfLbS6Q+yBOZ4ae455BFjgSBER48zSqKXx7kAw5OzrqwQRAaPwxZuKn3zUVUVKLWdDoZLH1R552KnemE6Ehk1YfsCmILge1S0ewCpmEjkLCBncmDXtHJ0ibawkvYl3keAEXyMrbmUryuOCUtwRGRW0BTEXnwu5pZ1XWwRStZWs+RzTch5QWZpX8efCENg/L2rWivvUTL5OmEj1tEezhKaN58fBMnI3l9VaKo3k+vvIh/2hEo0TiF9etQYnEkrw8rm0MKBhEFAykYQvJLWFmdyu5dGD4frsYmTJ/NzJZb2JV8gpLRR3PoOGpck7HSGfRMmsrePXhGjUby+ZGCIWTl4HRqZDPYhrMgxDCwTRMzn0cOhRAuFyJdRHNVED4Pqnx45/u/Iz4uWdwJrBZCvI7z8Y8Gvv9JDQpYDowSQgzDIYkLgIs+wfMRU+Ikjf7DHo8qNeiYdGmHyIBYZZrVGCYW0kBDftHS6DdyA1FYp8T20K5uG/CFAiw87jhefvFlvj7x65QtHUk4ZLOquJsPCk4fg26bPJlawbcbTyEs+8iYRUa4a4nLASdTOzCQRaEJ9Bk5vtG4BLcm4brxOLoCFa5WFjDKrEHINj2/eJvKLudzFdd0YKRKxC86Ak9TBKU2gN5xSHOccCqcDkCJ+cm2byd4+lRsy6oSxQHk3thOYEYblZ391H1pHsgSUtBNz0/fpP7yo9D2pzDSJdLPbsQ2LULHjSJ6xhTsgAvbsHAPryH/7uESY8X39hK8eBqKW0VUDIxE/rDXZHMVbuvPc1TEw3FRjeeSJU7/fA2UbbytLjZ+u51hX64jPj9YTVS76xWazoyy4TvOilQo4Gt142t14a5V2XJzO6OvbaL35Qz7/tSP7JVo/VSc6JF+Op9MMvTzdch+CT1tUOnXDxuTZdjIkk39kjA9z2eq52g5P44altlyW0d119H1dIqJd7biblTpeiZNx5MpzIKFEpKZcHsLil+m72Vn3OmVRdKrirjrVGJz/Mg+meLuCk1nRLFMGyNn0f9WFldEYcilteACSZPoeiaFKz74Jy65Bd46H5Nd3wEJev6WxR0vEV8wjlblBNozryCERGtgEWo2T/8H95EVEm2Lf4qkeNCFhm5mQEBn9k0koVAfmM3Y+GVsSTh+aDsTf2Nk/ALmtf2Eci6LP1iDqgSxLAu5GGT3b/rIrCpRf7aP5LyXBl9DWydb3k2suw6ltg62bRn0vHvoMOLnX4ykqghZpvWm20g+9RiJpx6n5vzDpwihKtjCpOO279N41ddJ/OMJ6j/7BaxKBaEojkquaWBk01haBVdrK1pvH7l33yY0Zx4uf5yxNZdimRoirYFmkX75eYxEH6GjF2Dl81jlMoptY8sKtqJAsYCRSSMHg+iJJMWV75N59SVQFIJHH0dk0Qnkl7+PZRq4jpmEEoziVWsHmgf/ffFx5T7+IIR4noN5g2/Ztt39H73n/w9s2zaEEFcBL+KUzj5g2/bGT+p8AKfFLhiUswBQhYsl0XPImqVB2QrTtilbGggn3CQJUSUKcObyhJEjpgRo7+lCVVVCkTBmReeVl1/huuuuo1NPVZPlGbPIKM/Qw5r9uvQ058VmYtoWLa4Yeyp93NV6Pv1GjojswyUUXs9s4ujQGF7RtvB6cTPfDC9hlLue0lu78U9vrRLFAWh7kyhRH1p7mpqLZtD9kzecjmsgevokCiucKhHvxEaQQB1Zx0vP5Jl/nPfDjpdIfhfCJZN/bw+FFfsInzAOtTGEe1icyt4kSk2Avgfeq74++/JW3MNrMPrzpJ5Yi3/uMIILBmv8A9gjI9gxL6/mn2WeegyBOcPIvr6dwLwRqC01mP0ZSgGVQsnixWSRod4As8IqzyfTnPvZWnb9yLk19/y+j9YL49SfEEZyCSSPhFCg+dwYnY8lGfWNRtKrCux5oI8hl9USnuIns65IcsAMySxY7PlNHxPuaqXhtCjFfRV6ns9Qf3KYmvlB2g/pEJe8AiUgs/OXPYz5VhPRmQG0fgNPg0p6dZ5KjzIoPGWVbbqfz+Af7iK7/mCZrpE1SX6Qxz/CQ92SEH2vZznQ/F/p0YnNDJDZWMQVVchuLpHdWGLIpTXUHB1ETxnIYYEQgvYn+8muLjHmhibSKwt4GlWaz41jWzbuWgUja7L7d320faoGNSwhWwrDg2fTFjoBWytS3Psu/TvuHxiV88Ubkk3FSCKEzMqO2zAsZ4e2O/UPZrfewdaEY0dqY1HU+xGWj5BSgyxsjHQO2we2bDD0Ki/l/R4S71RwicEBCq9SR1AZgru1HrW2ntL6tZhZh3jrPn85dqVC8vFHMPN5QkcfR3De0YQXLKa8aweS24Nn9FjKhxBM+MxT6ZXW45s4md4Hfk3tpy91JvJQhPK2rRRWL8fVNozgnHnYkozR2YG7tQ1XUzM2Aiufo7RlE1gW3nETwDTB0PFPnkbPb+7DyufwTphM3ee+RHnfbtB0en9/P1axgNrUTMOVXyPz6ksIl5vGr15LceM6eu7/Ba6WVqJLTkHPFNhY/A2TGq7Eq9Yc9lv4d8L/DpXJQN/Ae0YLIUbbtv3Wf/Ke/2PYtv0c8NwndfwPY2bIMQF0qqESxJQ4p8TOY6J/5iAtKAHUKEEUSaZiGaiS06z34RiYYVsoQqKvu4drv3ANmDbCtjn73HOYv2RhtWkOnCT5hmI7E7zNrC8d3EaPluvQZYuYEuTenufZU+lniKuGa+oXoyBx1d4/sTA0ns2lLp5Kr+Tc2EzaKkFKK/YhB1xYRf0j9Zokr0p5Rx+2adFy+ynovXnU2gCS34XRlycwZxi2ZZNf3Yk+bQwr7+6ntk5m6DGjKb6xDSnoJv6pGXjHNmDbNkPuOwcrp1Hc0ImRLBI9fRLpf25A6R+c5ATHB8M3w8kvFd7dTeTTR+A9ZhilN51EuWtMLfL8NsoZHSFJLNOXsvD0EwgumkTPS3n63qoQGB/FK3kIKzIZw2RDHo6PKaT0MpawDlgzYOs2+/7k2MKO+mYju+/vwSzbjPxKPWNubGb/X/rJrnMm6uS7eaKz/PS8cLgMSXFPhbrFIbSEQWxWADWmwICQYPK9PK64s2Pp+FuScrtO1zNp/KPcdD2VotylE58fQPYdrllklqyPrDW0TZvU8gLeZpWJd7Wy85c9CKDxtChKWMYs2vQvzTLkslpqjw3S8XiS0j6NIZ+tJbu2hOyu0HRqDD3Zx57f9THyG43ILsGWWzuq0iH1S8KMvKaBbfd0Mea6RsysRWprnu5RDzHKfxrFzpVgmwjZTc3US9lndNLsbsMlB9mffblKFOD4WnfnlzGt6TraMy8T9x9BjW8yXiUEHtDTKWzFpLRxC4XXliJHw0ROPY2GU4JI8ukMlY8FCySPH6M/QeWFVRRicXyTptD4jeuxCnkkfxDJ7WLfDd90Jmwg+cRfkUNhCmtXUVy1AikYpPGqr2NkkpTad+OdPoVe1yZyWgdDRk1AcrlRamrBhuLqlfQ/4uRDeH8Z+fffpfEr30TUN2AVCwi3B+F20/nznxGaNx+7XCa/4n3802YQnDuf9tu+Vy3xLm1cR+qZpwgvPIH2227ELpfxjp9IcO58bF3DM2oswbnz0Lo7yb75OnIoRPiYhVT27Ea4XEwbdRVWAeywfZhcyr8TPq5T3l3A+cBGDqYMbeATI4t/BWaGjqqSBoBlW1Qsg6DsIW+WsYGw7EO3Tfq0g0mvZlcUVciDehi8kgsJieOmz2XNqtWUBwQDJSHImocrkpYsnfHeZjaU2lGEzBn+qQR3l1lZk+S3+pucHp1OoytCr56lYGk8nHiX8d4mzorO4Jn0ar7TdCotihdtXYLEo6to+cGpZF/bRu1nZ9F7/0G9pppLZpFbsY/QcaMorNxP6u/r8I5vQKgSVneWzPOb0NpTNF67iK7GIfzth32YBjz/WIbzvzCW4adORPUo5JbupPP2F5FDHmo+PRMjXcA7uh7hlUG3sXQT97DYYZ/TM66B4rqD6afs2zuRL5xI6KzxYFl0ijwxIVFjuDnWdyIyCnrOYt+D/VVdpeIejeA+jQs/G+X+dD9jfC6WZ3UWRENIeUH9kjC7f3UwqetpVBGyIxMOsPvXvYy/rZXsuhJCFQjJCQuN+34L/pEeCrsq2PrBWdwVVeh6Jo2vzUV2bYmGUyMICeJHBYnO9FPu1Nn92z6no1uC3pcyjJzYwJjrm9CSBkbOxBVXkNwCqzJwXAH1i8Mg2YOa+2SvRGi8j83fb8c2nF1Q20Vxyj0Gva9k8Q93Y+RNRn+7CTUqY1VsanyOhtSm7+6vfkbZLzHm+ia23NpBbnOJ7LriII2pnucz1MwPEj3Sj1mxye8oQdlDRExiffoBRs28GLcIYAsJyxNDslKULBufcH2kXpFplfF0jWJcZByqX0aSJWzTxMikMVJJ5EAARfZT2rIRTJPi6lW03vpD0i88h3fcBORgCEnXUWUf0tjxCCFIPvsPwscuxMhl8dbVU1i1vEoUB5Bf9jbe8RMprlqBlcvRccfN1H7tK6TmW2zK/wKzpHNU9AeUjDVY5TLlXTvxjh5H+pXnBx1H27cHq1yi/+E/Udq4HrWxifrPX0HDl6/C6OtBra3H0jWEqqL391eJovr73bSRyImnIBSV2LlnIQX8pF96DrWunrrPf5ni+jXovb00XvU1pGCQrh//EKPfySfJoTAtN96KkUqBLGFlMkiBAFIggOz67zc5+l/h4+4szgDG2LZ9uODO/8WQhIQqyVQsnRZXjLxVJiB5aP+QF0W/kaNBDZMw8lQGKpqisp+cWcYvu8iYxYHqKQ+GbRGQPAPigg4EMNXfxp5yHz9svQCvUKk8vonsP99ixg8Ws1Hp5pe9ryIhOCE8iTGRRq6oX0jBrPBQ/7ssjkxkmIijaFCyCjR+/TiEW0H2qZS39dF69xkYiQJqbQAjW8bjU0k9uZbsa442U/7d3QTmDiO0eCzlLU51TeKhFbR87hjMgSIj04B9u3VGttrkV+0j+agjCmj05em49QWG/OQssq9vIzBzKLrfhXXxDFRZJrRgFNnXt4MN3unNqDMbKHQcnMhdQsHt8pM3NcqGQV0hjjslk9qbp3ZhiOIeDcUvV4niAHIbSoyUY0wP+Jjg9xFVDIaiUtxVRg3JjP52o1M11KwSHO1l530Ho6ZGzgLbZsQ19ahRBdu0sTWbvqUZmk6OUrco5Phdly0KO8uUOjR6n88w/rZmFL/Mlps7sDRnkh99fROWaTP8ijrMvJNzSK0oYJUt9v6xj+Zz46TfyiH7JCbc0epIelQsGk6KIPslzIrFxLva6HkhjeSRiM0O0P5oAnvguve9lsXTEGfv752JxdJt+l7O0v96lgk/aGXLHR3UHhN2yntzB8nALFikVhSoXRTC1+qi9yVnx+RpVAnMVrHLAj1n4h/uwSpbYAmiswLI/gWQgS2Zh3HLYUbUX87Dfb9nU3ENAPcO+TUt4cW0Z1+rurpJQqVems+W2zoRkmDC7S2461W0zg467vg+VtHZhUROOJmma2+g885bsAoFKnt24R09juzrrxBZvIS+R/9CeYdzTyo1tTRc+VUwTXJvvIqVTqPU1h72G1XqGzAz6UGPWT1JrCaTFs9xtLkWkHjkIQrLnSKK/HvvEFpwPKFjF5F87OFB77M1jdJmJ9qtd3XSee8dNF17A0osjlkqIGwwNQ33kKGHjcM9fDhWuUTLDTdj5HN03u5UhNVedAmd9/wAo8+557X2ffinz6gSBYCZzZB963VCxy0CIej44a3YhkHT176FZ/TYf5vdxscVS98FHF5a8v8AFCHjGah6Mgd6Kj4cOdAsA4EgpgRoViPEZD95q0xQ9iCQCMpeorKfolXBJWQKVoUGNYxfchOQ3UQUH1HJx0RfKwHJg5YrU3l1J1gWuVte51Pbh/DT8Lnc23oRJ/snY9s2/0yt4bHkcuYERzHUiCDnDPSODK76EPkV++j47j/xzxyKHPFSXN8JpsW+6/5Ox3f/iZkpk31j+6DPkF+2e9BNaRU1PAE45bNxwnGFxiEqi07yI7kUvOMaaPjacSj1QefFpkVpcw9GpgyyhOZT+V4iwR/LWbJnRwn9ZAHhnyxk36dlvp+6DtdpwxEeldCiMXjnDaOoKPjKbmoJEjQ8pN4u0vlUGqtsY+uOvank/pCaqVsQdyl8rqkWl5CZYnlIPpmm4/Ekfa9lUUMKSljGP8xNz6sZp3FuAL6hbnS/hjW2RCreQzmcJ7e/RM1RIYr7Nbbc3MH6b+xj+w+78LW5SX3g5DAkVWLvH/uwtAG9JBM6/5HC06Cy9fZOtv2wi003tjtJ5BYX6ZVFttzSQcMpEepPDNPzfApMkL0yvS9nwHL8KXb9qoeaRSHqFofYclvHIGJUAhJm2SGB0GQv5U5nVW8b0PtKlnHfa8E/3F3tBD8UVsWi8bQo3jYXsdl+4md58V5f4pWjH+Ht4/9OZUwW70gFPW+gRiUEYGagSVnIkdE7GFV3OZuKG6pEAfDNvZejSmFmt95JU/BYmoMLmRm/k64/6VglG7Ng0flkEiOToe/PD1SJAiD94rMo4QhSMASKghQIIgeDGMkkRjZTJQoAo7+P/Ir3Ef4AZjaD5PdjGwa+KQednOVojOjJp5N776B3hFBV/JOnM9x7Go3J8ZipNIUVHwy6Ltk3XyUwY+agx7wTJ6N1doBlocTieMaMc3zEZYXOH96OlcmSeeM1JI8XPZmg9jOfQwys+t1DhxM741x6H/gNnffehd7RTvy8i1Dr6jGSiSpROPet29lBfAhGJk126Rvk332b1lvvpukb15N85u8YqeRhr/1X4ePuLIrAGiHEq0B1d3Ggg/v/dshCAtvCJWTKlj6o1wHAL7spWGUSRgEB1KpBFGR6jSx+yY1um0RkH17JhWlbBGUPWbOEV1LxS246bJPr2v9K0dIISG6+03QaoW8eTe7Hb2Nmy2h/30Ld6GaykiCk+nFJChfXzKVimbgLFvquBHt/9BoYFghBzaePxDuxkf3feZrWu04H3aL7Z284GlAChEtxPK33HnIjSoOz14ETx1BWTSa2lBj5aYXIsDDpp9eTfXUr2OBqidBw9TF03PYCdtlArQug1AdJPbsB31EjOLc+iiwV+WvhQTo+JK3Q4eph/E/PYpdpYvtUsC1yOZOOOzuwys6KveVztQNdzyZmxab5nBj7HzpY3tx6UZykbfKNbe2cF4oy5RmdxFJnUi936RT3VRj5tQbMkkVgpJua+UEq3TqpFQVargrzQWUpT6T+hIWFT/Jz09yfYnSY7PltH3raWTHrGZMdP+tm6GV15Ld1IXkEenJwGKT2qCB7ftN3MLxkQ+fjScIDwoFm0cIomBgdJr0vD5YP8Y/wkFpRoLCzwuYb2hn9nSbCk7yklg9MsBK0XBgnt7lE87kxwlOdY6oxx/5Vcgt6XkiTeCvP6Osb6XkhUw2fCRnqFoXZcmsHWq/B+B+00hXYw4/7v189/+rie9zY9COCIyJgwc77eshtLCH7JNouqSE8PUaD2sxE33Q2FFcBcGHNZ9iXe5me7FvEfVMIuYZjp92k30tXj6slTWzDQO89vAfEzKSJn3sh7tY27EoFORrHf+Ssw3YHAHq3Y+GqdbQjh8Okn/8nwdnziC45BUvXcDU2Y1smdZd9iewbryHcbiKLT3Tu4kSOvj/8lvovXXXYcYUkYRsGrbfcRX7Fe7iaW3EPG0HfQw9S9/nLkcMRZL8fyeMFRaHuC1egxONEjl9Ccd1qCuvXUnPeRTR983oAjEQ/ek83SiRKce9u+v74Wxq/8k3kWBzbGkzipa2biZ56FukX/nkwpCYEwVlz6fntLzHTKaxCDu/4idRd9qWPv5z/b8DHJYunB/7/fxKWZaOVbPxeNyVbI6L48FgqZUvDK7lwSQrdmrPNt4F+PU+zK4pXUh1NKQFZs0TaKKIICYEgKHvxSW6KtoZl21zXeDJv5bbyWnYTT6dXM6mxmWG3HkUDAQwFbi68xNmVI6kPOI1QLknFJanoWp7e37zjEAWAbZN4dCVN1x9P7vXtaLsSuIfXoPfkcI+sofYzs9DaU0RPm4QS89H723fROzOEF43FyJTxTm4ieOwoJLeK9sZecms6CJ80HiNZIPvK1uo10drTZN/cTnDucMx8BaU2CLZN/KypGLkS83xeCrJKlz7sMLLwKfVkFZWgpVCyLFZmC+x2VTj/ribkgo3wSyhegeySCE/xUenRUQIS429tptShE5zgoRB0cg03e5vxF2263h28WguO95LbVGLfnw4STNOZUYZ+sZaCK8sT3Q5RABStAgXy+FxhtMRgrSM9aaJGZEZf30SlVyc4zkNuc7n6vKtOpdwzuIzWNp0yWnC8txWvRPLtw8t/c1vKeBpV8lvK2CZsv7uLcTc1U7c4QqVfJzjOS3ql05dR3Fem4/Ek4ck+6k+I0PlUktpjQ2z87n6skuMVPvaGJvrecKqn6hY5jWPldmdsPe8keO3owfUiml1hY3k10/rn0f9GntyAeKJZtNh9fy+T7mlDfjHGhUdcgdlc4Z/6I4xxDWVV5/cBRzQQYLT/UkKTJ5Bd61yXusUhbCEROHIWmZdfqJ5P8vlQausobdtC+wO/BpydQMPVX0eN15J47JFBuYDAjNkISablxluxhUTdZV9C7+sDVUXxBzCzOTru/D5qXQP+6TOwdY2eX/+Cxm9ej21ZGMkEpY3rCc4/jtxbr1WPG150AtnXXyF03EI8o8dRWPE+5R3bqPvMZWTeeBV/fSN9f36Aym6nrNs/cw7xc84n/fwz6L291H72c3Tdexd6z8HQpuQP0HD5NRTXOqRaWL+O6EmnIXm8yNEY5sAOwSqVQJZpvu67pF98Dts0CS9YRGHNKsy0cw9nl75JYO58Mi8/T/j4JeipFEo4/LGbAD8pfNzS2QeFEC5g9MBDW23bPrzQ/P9SWKZNskdHdUvEG91Y2AQk51+PpNKhpZCEQEXCsK1qqCpp5PFIKj7JjW1DkyuKbpsoOFau3XoazTYpWhr3dvydbzaexLZyNwkjxwRfC7JfYmWxg/v7XqNWCTHKU/+R46s6zg3A1syq4JQc9qL35wnMHUb4uNF0/fAVzKzzo1ZqAzR9azFaZxqEQO/NUXv5UViJImaugndMA76JTZiZEtruw5sWtX0p6i6f7zTc4cibp55y5Bda7jqT/pcqnPLZc9ld2Uav3oVAcGz4NAR+MrrB5lKZeeEAi2JhXhEZtADUuVRUG2wLsoZFWViIkETELyNM8Dcr7LENfr2vl25NZ1LAx5caa/ENdVHYeTDxGp8bZPuPugaNt+vpFLULQ1TMUpUoDmCnsZmJ5izcDWpV1huc3gzZKzk5gaLJ8Mvr2fvnfnKbSviHu1FCEtEj/CTfO0gGalRGCIjPD1K/OEzHY6mPrLQKT/ZW+zHAKaet9Bl4GlU6Hk/gaXSx/y+Dr3t2U4mWC2PEZrWiJQ2skjO5pt4vkNtSpun0CK46ldz2IuGJ/oPHLth47cM7hn2SHyxBbvPhKruFnWUyq4r0vZSl5cIYZ0+9jL7sK4cdI2mvpXnedMyCTf0JYfxj3JiZPNGTTgPbJr9yOWpdPbWf+RxYFsmnDuqO2rpO/yN/pvEb19Nw5VdJPfcMdqVM6NiFuIYMIfHEoxTed5pHPWPGUf/FK9GSCaxkAjObQa2tQ2vfh9Y+sCCRJCSXGz2bxT/9SFLP/oPm796Cb8JEyju34x01FqtUpPePv8U9dBipZ/+B3tUJQGnzRmouvpTi2lVVogAofLCM4Nz5hE84yQmr2Q7JHQqrkEcMNOVJXi+BmXOQAwEkj5eW791K9q03MJMJAjPnYKQSqLX1hI5biFJTR/fP7qmOAZyEt5BkimtXEzzqGIob1qHW1eEeNgI18q9zzfu41VDHAg8Ce3CmoVYhxCWfZOnsvxNsJx+KEFCxdeSB3UHBLKMg0TAge2BiowqZrFnCsi1CshdFyEgI/LKbTi2FjePIV6MEB3lwW9g8l17L3MAowrKXgl6h3h0ib1e4vG4Rk30tRBT/4YNTJLyTmiitP3izqc1hjHSJ6BmTsUoaSl2A+NnTSD+3sUoU4CSni5u6KG/vI790J0KVCcwcSs/P30TvcUImkdMngwT+KS2H9Vn4Zw5BCnvAMOn9xVKKazscl71zjiC9TqfxpCguReaapu9RssqAArYbr/CiGtASDZG3LAqmxdGREGrBYu9dXRT3aAy7tZE1OYPfP38wEXj+sTHmHxnkrh2dlCwbAbiB/mSeYdfWkFqr0/X7fizNRo3IB0NDB75HE/SUiUv14peCFA6Rcdgn7eaI5nkMv7KO3ff3Uu7Q8TSpDPtSHbvu60HPmIz8WgNGySQ42kP9CWGEDDt/1sPQy2qRXILM2iLeVhetn4ojeQSKT2Lb3Z0YOYvwVB8Np0XofSGDbUPtcSECo720P3owFBie6sPTqNL3WgY1qqD4HT/tQyuz/CPclLt1dt3Xy/hbm1GjcrV/w8iauOtdyF5BWYdKr05ospfsuhKZZWUWnn4Kq0rLKNsOMdQo9QwpjUYJykSP9NP1j/Sg6+VuUNEHPDu6/p4mMKqRoPvwvpiYdxyxGRFiUwVCKmFrOdKvPIbW2UH9l64ifPxJgEDvakfy+Q+rJDL6+0DXQVYJzpuPkBW03m7Uvt4qUQCUt24mt+xtytu3ETn5VGRFJn7hZ+j++Y+wKxUQgtiZ52LbFsLnI3b62cjBIPkP3kO4PRj9/STWPlLdEbjbhuIdMw6jvw9b19Ha9yN5vWgdg2VE1PpG1HgNfb//NeWd23G1tlF7yefpf/hPVHY7cjlKLI5VLoMQNH7jetIvPuvkSiSJyAknEV50IvkVH2BpGmY2S+rpp5BDIWouugTP8JEHyUKWiZ93EcLlwtXSilUuYmsVun96D03fuhHJ60N2/2sqpD5uGOpHwPG2bW8FEEKMBh4BjvikBvbvBCGDJIFWtogKlZRZJCx7iSsBbCBjlqq9GJIQNKtRTNui38ih2xb1aoiEluOUOQtpaGrgj089+pGihIZtMtbTSL0aom8j2CNkTo5M/Q/HZguo+8JcEo+tprShC/eIGmo+fSQI4fRZeF1IbpXS1h7MXPmw95upUtWnInreNLKvbasSBUDh/T3UXjab/Ad7qPvyUST/thozXyF4zEiCc4dj5zXskKDmi3PBsBGSwEIhoCqoIRkhBDHVWQ0Zmkl+R5nMijSoEDorwq+6etlYKDHa6+bMWJSWK2pBsxDNLl57ePCq+s11GaZN92HYMD8S5AyvD9fKdoovvkfS78b/qSMY+4sW5IJA8ghicwIk3z244g9N8lLYVcbaKbhmznd5JPtbuvUOJnmnsyR8Jnq7iZ4xGPX1RoTshJJ23ddDcbdzfVIf5AlN9LL/oQSSWzDxh60oQZltd3ZRuzDE8CvrUSMy2+/pYvgV9fS9nq0mw3f/ppems6JMuKsVIZxjm0WT0d9uROs3kNwSWr+O5BbULYzQ90aW/I4yI66qZ/f9vZglC3e9SutFcXbd14utO5pP477fTOLtPFrSoPa4ELZlk15VoOsfaUITvTSeHqVuURgjZxK03Xy3+W42pNbiU3yM9I9F6fZSyerULQ6R21wmv62M5BG0nBcnvaJQJSqbgWKDPVHa2k5hf/F5bExqfNNpCB6FqqhYmobWnSDxyJ+rVUV9f36A6OlnowRDdP3kbhq/eh1KLI6RPPjd+o+cjVUuUVi9nPCxC5E8XvzTZzhdzx+C3tVJ7acvxTYthCIDgtab78To70OpraO8Yxs99/2EwJGz8U2ZTvS0M9E6OlBjMfo2b0Dv6Ua43MTOPJfS9i0I1UXTN2+g62d3YxUKCFnGO2kqhdUrq+eMnnwavb+/n8oeZ7eh7d9Hz/0/p+5zX6Lzh7fjamqh7ktXIWRBy813UN62pVp9hWmSfu4ZPKPGEJg5m9KWzfT94dfVY7dv30brzXcQmD0Xo78Pd9swMq++iH/GLKKnnIHk85F+zQn35d55C1dLG/ybk4V6gCgAbNveJoT4v6466u3sNh5NLiNh5IkrAS6IzeGo0GgkSRBrUEn1GlgWFK0KYdlLydLwy+5BTXuWbZM0CrgkecBW1cHvfn4/I8eMIp9zLFUVIaEIJ2x1AKdGp9HsimCa8NjPe/jUtfUExw42uPkwLNsm9dByai6ZhaEbWL0FrJJO7rVtKLUB5JAHs6ghPArBecPJvbXj4O5AlvDPHEL6hU0gCQIz2kg8umrQ8fXuLMKjIrlV8u/vpeYzM1FqAo5lqkcgaRLP5p5ibWEFESWGAD5bfxXhAWvNjG5QtCwUwL3HRJIkp5dgpo8cNle01DueBrZNv2ZAg8L+ssbKZIovnFvneCNoFnrFoiau4pIF3x3axO5yBXVzD5mBDnEdKN/yAo33nkUi4qa9UqH1ogj1w1yU1pbwj/JQe1yITTfsx7Zg3LhmPpW8GuG3qXxg45ntZ8Nt+7EOqZpqOT+Gu0atkkWlzzikqS1C9/NpauYF8Z4XdxYUHoktt3VgFi20tMGEO1rR0waJZXmS7+YJjfex+9e95LeUGXdLM1tv78CqgOyTsA2n6mvKz4aw6eaD/RKxOQEm3NECthMO3fXzHioDOZLiHo3M+iJmyUIoDgG54gr5rWXG3dxMYUeF/LYykWl+3I0qvS9kic8JMmrTdNy1Cjvu78Uq23iaVUZf28jQL9Zi5i3kgERmdZGup9PVa9FwUoTke3n638pTf9YCZs5ejBqTkFUVtxJx7sVyCdkfoLR5I0q8hsZvXI+ZSlLevBE5HAHbJvnkX6m//BpS//w7Wkc7vslTiZ58OkYmAwhHOdbtprxjG57hIw673yMnnYaRTlNYtZzC6hWodfXUnH8xUihMx123Yg6QUGXPbqxyGc+YsXTdcwdyOEz8nIuovfQLmNksuaVvkH3TyWMYyX4iJ56C3tWF5PHiGTqcyKlnkH3lRYTbg3vEKCoP/HrQOIxEP0okRtsd92IVi+Tffwe1th6tu2tQ9dMBVHZsx0insPKDc1dWIU9p80ayS9/AyufRerrANBEeD5FTzsS2bayBfIcSifKvrKL9uGSxQgjxO+AvA39/ioPy5f9X4O3sNn7T9zraQIF7v5HnN32vA3BUaDRuj0RtkwqSjc92UbF1ipaG+hF6LiYm0iGVxjv37eHNF17li9ddzQM/cyQUUkaRJjVC1iyTkBSubTwJ27bJmCW2PQelgsXG9wsMH/sRoadDYPhd+CY1Y8mCrXKSEQXouv3F6vO5t3bS8I0FjuFQpkTz95aQeno9QpGInjEFyaeCbaM2hKjsSxGY2Ubh/T0HTyBA8rkInjSW0EAJJ7Ig5QG/4qKilNnevZlevYtevYujgidQsQK8lcoyxufh8d4kGwslRng9XDw0jlm0UNwezCYF07J4I5XFK0lMCnhpcavcva+Ty5rqOSEeZlW2QFRRGB3yYNgytnCkVh7rTTJFVtHf3PmhC2+T39hFaP4IHm9P0VnROGKSn9FTPMwLBCntruCuUynsrLDt7i5GXF2PpAisCc7EeyhRACSW5albFCa13OlErz0uhLtBwTfCTXiKj623ddBrHvSiiBzhY/wtLdimTceTSXb+rAdJFTSdFWX8bc2k1xRpvcgRKJR9EvF5Ifpey2IWnesanxdASxmD+iWSy/LYlk3rp+NoXQa2Da5aBa3PQPIK/EM97H2gHSzoey3HpHtaab24hh0/7kbrd+7lrn+kmHBHK5JLoAQkguO9bP5ee7URsNyhs/eP/cSPCaAGFUTJJjorgH+Em8TSPJEj/fhaXWz41n5sE7ofK1LY4GHE1Q24vAfvf8njxTQMpECQhmu+QWn9Wvof+RNyJErD5U7hZGXvHnp+9TNCxywgcsLJGKkUZi6LVcgTP/8iun/5M+o+fRl9D/6OyJJTiZ93Ealnn8Y2dKKnnoltGuQ/WEbmJSdZr3d10tG+n8arv14ligPIvv0m3rHjnVs2HEVtaMDKF+i47XuDXldYtYL4+RdT2bmdfd+9Fv+U6QTnH0v4mIVVdVmlth6j72B1l+T3Y+ka3T+9B7WuntgZ52CbJrYQuBoanQbCQ+AeMYr8+8vwTZnGh6HEa9D7eqtJcADfpKlQkTGLvQiXGzkYJHjUMQjPv0508OOSxeXAlcCBUtmlwC8/kRH9i/BoclmVKA5Asw0eTS7jqNBohBAoqsCyLbySq9qxfUCi/NCwUlDyDiqt/fbXr+XOu+6kP5tCIPBLbmKKn4SRH+htEPw18T5fqjsOK6ny2l+dOH3r6P9c+96tyFRmtCDpJjV4SP9j8E2q7U9hawa2ZeMZVUfyyTW4h8axTYvun7xO6NiRtNx5OnZRA9OisjtBzSWzyLyyBcmlED1zCjsUmxq3yn293dSoKrNDflolNw/29JE1LE6MX0+bW8ayypjCx/uZPLUuhd929rGhMCCnkSvQpelc1lhDPmbRaFncuLOdykD8ukZV+PaQJq5ubUSzLFxCUO9WaXCp/Ly9h50l53rePryFDYUSzSEZUXe4aYy7Lkh7ReOSxhpu39PJ8nyB5RTwSRLNLxVpOT9OpV9HTxqoEZkdP+6h0qcz8isf4b8RUxCKkyeoXxKm3KPR80KakVfXI2Th5BPMg997enWRlossMquLJN5yVpBWxab9kSS+oW66n0mjp0zi84PIXkFsdoDQRC+ZNUVCk30Ex3jIbTs8VChkQblDw9PspvHUCLJXQg0rCMlm/yOJqqZCzdFBtJRBpceoEsWBMXT9I0VokhehCLDsDzumYuQMfC1uttzW6XSiC2i5IEZ4mg9b09E7Uoz7TpxSu44SVvC0esFXxja9mLkstm0jBQMgQd0Xr0TICqnnnAJKM59DqCqBWXPJv/8uRjJB7p238E2cQmnrJuRQEMnnp7B6JXWfuQzhduNqaSPx6F8IzJlHw1VfQ4lEyK9eCYZJfvl7g8ZuplNIbo8TKz6kVFUJRxBu5zcUO+Mcen5zH/VfuAIUBYyD10cOBBFCkHn9FUfW4/13nZ0QUNy8gciiE6n/4hV0/ewerFwOyeul/svXkPz7E04fRTJB18/vpenr38I3YTJClgjMnU9+2dsIRSG86ETMbAbv2HF4xoxF8nqdqijAM3osSiSKb/JUckvfACEIHb0A95BhdP/0beqvnEPDVV/D1dSM8HqRlI87Zf/X4+OeWQF+atv2vVC1Pf336UP/L0DCOLy08aMel4SEV3Jh2TYh2UvKKNDgCpM2iphYhCQvHklFCChbOq889yI1dbVMP+II3nrjTVxCoUZxbFprlCBFS0MREl9tOAGpqPLI3c7qaMx0L8PH/+erCFWSkMM+Su0VYsEQ/fbhuRBbM3DVB7GyZfJvDV6Np/+5Ec/YBpS6AGaqSHFtJ7ZtET1lIrZt4x5Rw7CAC1sSfLmpjqJlEVEVrt2xn9LAD3NNvsi1bQ2M8Pp5oT/FpICfepfKefVxjiyVebQnScmyaK9oeGWJepfK33qTVaIA6NcNNhaKrM8XOb02ytvJDMfHwizPFatEAaDZNqoQvJ0vcsqpE5FX7a9Wg7knNSGawvylJ8EVzXWDPmc86MJdq7Prlz3EjwnScFKExHtZ4kcF2P+XBHraIDrTT+qDActRr6DpzCil/Rojrq6nsKeCr9VNpc8gt7WEHJBoPCVKx+MHV4N1i51Ch8P8u4H8tjKeJhd6qkT8qABYTgJZKcn4R3noeCzJrvt6GHfz4KS1kKHp9ChCgQ3X7asm7f0j3bR9pmZQA1/tsSH2P9JP5IjDd6NWxaawq8Ke3/Yx6d62auJcCUqEJjlS6Xv/0O8QBYAN7Y8mGX9rC64Q7PvqK0g+FSXqw8xWcA+NUfvFeZRTu0g+9Ri2oRO7+FMowQjq0OFIlTKS1+c0p9XUYlUqxM690ElAa5qj9JpOEZp/HMKlYqZTeEeOorJ/L54hw4icegZyIEh+2TtIvgCS203mlRcIfH8GaixeXYX7p88getJpmMUCrd+/g/wHy0g9+w+QZWouuNgJr86cg+z3Y/T1kl/xPtGTTiP19JPO5xSC2DnnY5ZK1F9+DYXl7yNUFe/Y8Q65fPlqtI79GP39NHzp6qpSrZ7oxzNyFMXVToDFKuRBlrHLJbRkguDc+cROPRMzn6OwdhVGXx/B+ceAZdF66w+p7NuDUF3YlQod9/yApm9+h+hJpyFkBcvQEBLUfW4qRn8XrqZmkBUU/7/WUe/jksWrwCLgwMzpBV4C5n4Sg/pXIK4E6P8IwvgoP2xZSMgCIsJXLeyoVYKYWIgBt26PcNHiirH9g/W8/uxLjBk+ilK5RD6b45JPf4a//OUvCCERkrx4JRdNrijZssZnvt2IEKB6BMHgx0sLSULgiigU3BLuMyej/fiN6nNqUxhcCoWV+/GOqTv8zYqEEvNhayZ2bYCaS2djFTWsYgW5Jki+E6x8Gf9ID1FLEFUV9ht6lSgO4PlEhi821TI7HGJ/WcMny7yazGDYNl9prefOvV24haBk2WT0ChXLwi9LjPd5KVoWmwolKpZN3rTo1QzG+33sr2jsLg9WmHk/k+eM2iiP9Sb5US7D5TctIZYp4/KqpH0q3+7tpd6lYh3CmcM8brxqAv20EiNOa0J1K2y6uR2ty2Dsd5tou6SG3leytF1SQ8PJESp9Bu46hY7Hkmj9zg5k5096iM0O0HxujNzWEnYFojP9BMa4yW0q4xvqxjfExb6H+gmM8JBZXRw07sAoD8X9GqO/1Yiv1c2eP/aRHiCm6Cw/tceESLyVY+8f+xjz7SayW0q4ojLeVje2YdP3WnZQdVdhRwXbsAlP8ZJZW0KJSAgZ8lvLtF5Ug+QV1bJaBNQcG2TvH/qQvRJGzmTiXa1O8l2CvlezSG6JUseHNJ9sMPImiqdC5K7jyKhZVMmPa0ue8qObsUoaPb+9D6OnG8+4ieQ9veSMLloZR+KZp2i46quO1tKmDc692NhE0ze/g+QPYJsmcjgKtkV59y6UYJDcB++DaaB3deIdP4nYWeejd3cSnD0Pq1Qk/dzT5N5/h5qLPkPHXbfiamkjdMwCOn54O7bmVEPFz/sUTd+6ESUaI/n0UxRWvk/05NNRojGEy03m5ReInXU+zd/+Hlpvj1MNlexHUlVsTcM37QjHgiKRwDt6LODsPLp/eg+2fki3gKLQcsMtJHmk+pBQXVjFAomH/0TDNV+nsH4trvoGAjNmI4cjFDduoO9394EQuIeNoOYzl5F5dykNV3yV9PPPEDpmIeUdWymuX4tn1Bh8EybRc//PMPM56r9wBWL8RJSBHc+/Ah+XLDy2bVdnUtu280KI/1k2T/8JLojNGZSzAEe36ILYnP/lexQhDzbQtqFoahiYBCQPChI/+MEPuP0HP8DG5q033uTH997LQw899JHHC4VcjsXU/wHUoEKhXGF1k58jbzkJ+80dWE1hfLOGUHhrJ+7mCOVdCXxHtFJcebA0MHb2VCzdRPK5+H5fPyfHo+z4c4GjTggT2FXBc2wAJWOz7QedlLt0JK9gyJfqWNwQ5OX8waopvyyxrVjmFwO6TzLwnaFN+GSJsCJzcX0cWQhyhkFEUTijJsqJ8QjrckWmBn0EFEeVNa4qhGWZnGnyRF+KM2ujLE0fPM+LyQw/GtnKjKDfIRKPm3LEyz0dPfT2GUwKeLmgLg4CfjKqjYppEVAE6wpvMz58FO/nS0SFYNjtzXi6TSS/INbkJzLdIX6zaGFVLPY/lMA3xEXLeXF2/bIHT6NK7YIQG761r6rbFBjtoenMKPkdZfrfzjHyKw2kVxZpWBIlPNVHZk3R6aReHMbb7KL2mCD+EW7Sa4pVogCnRyI8yUfN0UHqjg+TWpknNjtI9/Np9vymD1eNQuunaij3GKRXHHxfpdegbnGYxjNiuOMKyCBUQftfE4z9TjN9b2QxSxa1x4RIrymgp03G3NDEvj8lyG0qIbmc3ZMalkm+mycy1Uf/mwevteQVuGsUsjUV7u68jULFeW72iKM56ZoTncq3gjOewMkLWF94lLHxGykuX0Nlxzb0qUdUiQKc/EL2zVcJH38SqWeeIvfWawiXi9jp56DW1uFqaKiGgIQkkDwe6q/4CkJ1UVi9m5qLLyX5j8fxTZlGyw23AND96587RAFOQ+rjjzDkhz/FFoLihjXY5TLJJ/6K3tNN7Wc/T+/v7yf5xKNIobAjEphOkn9/mZPstm18k6ZQc9El6Ik+1MYmKnt24W4dgm0MDlFjmoNCXuHjl2AkE6h19diShJnJoHe0Y1fKlHdup7hhHS3f/h7C48Eul6ns2kHqib8SPvEUKru2I4fCYJkkHnXSwqWN6ylv2UTsrPPo++Nv6Xv4QVq+czP8DyCLghBium3bqwCEEEcAh++1/wfjqJDTb/hR1VAfF4qQCSmDQ0eH9lwqkjyw7/hk4JEkni8WeREYu2QkWcOkWStz1swh0JmhtLGL8MIxjmHR/hSB2cNQ4j5sSeLn2TTjvC7m2BqzP6dgq26yI1xsSBape6BAuctZVVklmz2/6OHUe1uqZOEWgnPqYjzck2BRNESPprO3XMElCbYWymwvlZkdDtDidtFe0fh1Ry+fb67jtt0dXDekkcf7UqzLOyvxkV43X21t4O3eHO0VjZJlcUF9nBcTaWQhOLcuhiwEGwpFpgX99Gk6ZSG4uqWBgmWyMltga6lMi9tF3jQJyjK2LRjmmcc3d7SjD2wFh3vc3BCpw0zZbPtFB5UeA2+LixFfrSc83YcrruBpdrHxOsc6tfm8GF3/THFoWiu/rYxtQXGvRvRIP7lNjo3r9h910XxOjOZzYyg+iczGEsX2CmbRIaGPknAo7K7QdFaUzTd1EJnhp/fFDH0vO8lzI6+x/e4uxt7Y7Dj22aDGZQKjPZQ7dUr7KvS8kKbt0zWM/lYTu3/Vw9Y7O2k+N0p0ZoCtP+ik3K5TuyBEYmnOGSdgaTbtf00y9qZmdvysi1FfacS2HHl0T4PK0M/XocfLPJF8aFBPynult1g05BTstI41cA9I/gCamcGydBACJRqrlpoeCq19P1pnB9lXnSIMW9fJr3gfORql55c/PXg9VnxA83e+T+JvD+EeOhz/1OnoyQSNV38Dye2h6947qfvCFYdLipgmZi6LkBXabr6Tzp/ejbZ7F7l3lxI981xabrgZq1hEuN3k3l2Kd+wEsm+8Wn17cf1aiuvWUOnYT3jh8diahlWp4J8xi8IhuRL/9CORIxFab7kLq1KmvH0rss+HbZo0XvU10s8/Q+7tNwd/x2tW4R0zvtrlrXV3Y6aSmIUCkRNOYt+N1w16fWnLJmLnXYRa34De23M4Yf034+OSxVeBx4QQnThr6QYcyfL/q3BUaPT/Fjn87+LYY4/l2GOP/cSO75MENw5t4i/d/Wwrlpka8DEzHECrmASHxVFifoQiodQF8M1oxRaCpeUyD3cnWRQKcKZk0H3vnWid7bT99E+8Vy4wWnaT3z046Wob4KsIrm6pp2iaTA/6sYFjIkGWZwtMCfq4tKmWh7sTrMg5K893MnnOqY0iCZgdDvB0X4ohHjcJ3agSBcCOUoV3M3mmBny8kc7x+84+ZocDfLaxlkaXSsE0uW7Hfm4c1sxNu9pJGk6MfYjHxWcaang+meFbQxp5si/J6lyRJrfKF5vrWJHJV4kCoLOioSCx6d72an7AP8qNWbKQVIGrVsHWLNz1CsU9GrJHwiwcLtaHbTP6+kZkj8SWWxwvErPgSKqP+Go9FQO8TS4szWL/XxIoIZnG0yL0v54jNNlLw4kRJK+EEpAodWroGZPAaA+dTyRRghKRaf6B3gmnRDYyw094ipfIFD9G3sTIGaTXFmk6LYqWMOh7PcPIrzUMOPqZmAWLEVc3kPogT3Ccd5C+1gGU2jUUn8y2H3Yx+tuNNJ8fw5ANZGHTQzf9xsEJeZR3PIsiJyNJMqWoQvTsi0g98TDllWtpnDeX7uKzjJp4FukXniZ26pmknnlqUBNecO58Cis/AFkmuuRUfFOmIfn99D3wm0FjMrMZKrt2UNm/j8KqFRTWrKL2ks9hZjIU1qzCN3kqpU0b8E874mBPA464oJnL0vOrn9F8wy00fPFKen77K0Lzj0WSJfoee4TSti1gmvgmT6Wyb/fh12PbZnxTj6D75/fS+JVryb71GrFTz8A7cjTFTevxjB6HZ/gI2m++gfDiJai1Tnd1+uUXKG/bQuO3vuvsFD4Eye/Hrhz8LfmnHYGeTBCafyx2pUJwznz8U6c75cPYIKtIikzDNd9EeL0IITDLZWTPf1748kng48p9LBdCjAXGDDz0/5Tcx/8JbMsakL42HA9qr/PFf5LwKgpCWFzaUIMB2JaNy7QJSBKWrqHUBbE8Ci7Xwa99jldlSthPMJel7zf3o3UOTHiVPBo2O40KI8Z5ya46OKFLboHuhaEeFytyBXTb5pVkln8m0oBDDOtyRY4MB6pkAfBsIs11Q5rYWChh2jY1qkJH5XBvhL3lCsdEgoz3e9lUKLEsk6dgWnypqZZ79nUxI+Tn3UyuShTOezR6Kjqfro/zfCLD+1nnvHvKGrfv7uSGoU082Z9mpNfNBfVxp5lStomcEaH/TwlGfr0Rq2KRfC+Pp8GFb5gbd63MiKsb6HkxQ7lXo25hiN07D3aUK0EJ31A35U6NfX/oZ9TXm+h9NYOeMak5OkhgtId9f+gjtaLI2O81o2fMgY5owdAv1qIGZXb/phc9beJtdTHyGw2Ep/rQEgY1x4UIjfPS/3YOSXa8KZSIRMt5MQq7Kqy/bh9WySYw1kPbp2rY+bNuRn6zASUko4RkOp9Kkd9Sxj/STdMZUeLzAiALQhO8FHcPzgP5Wl1o/QayT0KJS6xU3qHO1cCa/HJGKKP5bP1V3Nt+E0M9o1gYOZmHe39L2kxSqzbw5UXfpHnyZMxUkhGxobQX3iAvZWm67ka0fXupv+IrpJ56HEurEF54PMLtQXK5qb34UrSOdjruuJnYGecgPqLRTLjd1TxBZcAJz/ZqZF55kaavf4v8ig+InHAKkttLcf0aXM0txM44h/5H/oRVLFJYuZzgvPlETzmDzKsvUd65ndpLPkfvg7+nvHkjWvt+IktOJf3sYNk736SpuIeNoPEr12IWC0ROOBlb0/AfMRMpFCL/3rskH3d0rJJPPErLzXfQ86ufoXd3IVxuJNVFeMFism+9Xt15KTW1BI6cTWHlcuRwhMDM2YQXLsbMZOn59S+wSsWBqqksnXfegvB4qfvsF9C6OsgtfYOaCz+Nq20IliRh2zaK97+/hFbYH1E9c9iLnPzE14Ehtm1/QQgxCsff4p+f9AA/LmbMmGGvWDG49WPz5s2MGzfuXzIew3CKaSu6jSILFGEjCwa6Tgfjkxhn0TSxbFCEhm1ISLaC2/O/Jiu9v4993/kGtuZM3uqwEXi/fRO37OnkhnADqfv7yW8p44orDLuyjsoQma/t2c9nGmoY5nFz+57OQdVNALcMb+Z7uw4aHflliVuHt/BAZx+n10b5VXsPX2iu4669gzWcrmtrZKjHhY1NwrAQwP/H3lsGylWe69+/JeNue7bHXUhCAgkxkuCuIbi7tcXdipRCaSnSYsWKu0MgQEKIe0JCPNtt3GeWvB/WziSb0NKeU3p6zvu/Po2tNc/MrHnu57nv+7quoq5SZTLTWChRYZZ5tT3KwqRRRpMEOK0yyEC7FYsgcMvW5j0K8Pf1q+OLaJzJXjcPNraR6A40h7rcHNBpxeWUQTU6mVIb8jj6Wggf4mHdDY14xzqwhk24RlopdJXo+jyNHBAIHG1H8ohY0lY23N2KklLxT3CW5TOK0RL2eiudc5I4B1np+CRBYlUWRBh2bx0bbm82VHEHWqk/PUh2RwHJIWIOyphcEmuu3lUfES0Cw+6pQ9d01l7b2EN2JTjFheQQCU1zIzlEtj/ZSWLlruDuHGCl/pwAbaEd1OX7sf0p43nJJlJ3WgDZJZHdXiAw1cki85fk9CzvR18rH7+3YwITPdMREHmm/WFS6i49qypzLZdWXY+ma4iCgEv0oOt5hIzh+pbftsVQcLXZSXw5m+RXX1Bzw23o+Twtv73buNaqawiefDqtv/9tWYnVXN+LwPGzaHv8YWS/H6Wrk5rrb0O02Wh58F7UVBL31OnYhgzHFA6jpdLkN28k8eXssldExYWXI0hij/SW6HBQd6chAij7/AgWizH5v/cWulLCPWU6rvH7kd+2BWuffqQWL8C59z6YKsKgabT+/n6KzbvcLMGwe1XTKcw1tZgCIdIrlmLtPxBRlslv24ogy5irayg0NWCurgVdwxSsQFfVHs5/AKGzLyA5dw6FLZtBkqi/50Earv8lSBJ1t/4awWIl02xBTYu4hzsweSUE8b+X2hYEYZmu62N/6nX/aBrqL8AyYGe1txl4HfiPCRb/SVBVDUWDlkix/J92WkUCbvmf8rH978Au7QwMNqPa/FOQJKz9B5YLku7jZqEJcF2vKr6Opxh1iY9hohlEKDp05sZTqDrUWy3kNMOH/IeaP2ahZ3L+hJAfmyByQXUFOjoX1YYpahrnVoV4uzOKqsMhAQ85TeOx5g5OqwwQkiUKus62fAn0Ei2FIi+1dXJyZbAcLE6qCNCcL/JcaxdnVwWptZjZlNu13a8wyTglkUODPkTgYL+H1zqM1suPU0mOHOSltK5IdEGK2CJjR5L6Lod/ghM1q9H1ZQoE6DfDy3OmPzL8rL1JEmdxdi5jtYkc5ZpFv8vCpL/PU0qpeEfZQYDGFyK4BlmpPTVoEOtOC2DySiS/y6GXdCPlZROoPyPIxvtayuxwS1hmwFVVPbgQWkEnMj9lyJT/YH2X3pSn8giDf6Ek1R6BYufzgh2WZb8lY08y8IKRiGoIHYgtSZNvLeEebaVVbmCwfQT3N9/c4/jV2WWcGDwTFZUTAmfwafxdWrqVhKe4D2RddgWzYx8gCxJHBGbSzzIYj8dLKZXCUlMLokhhx3bDG1tRiL33NvbhI8rnL7U0k14wn9pb7iL3/XpkfwBLbT2ZNauo/sU1FFubsfTtj5bPo+ZzVF15DYUd2zCFqxBkCdFsQXBLRN95vbwTER0ObAMG0v6nP/b4LIbp0jYya1eRnj8X0W4nfNkvqf/1/ajpFOlF39Ly27vRSyUce++De9oBtD/xKLLbTcX5l2IbOoJicxOC2Yxrv8lYBwzCNmgohdYmzJXVZL9ba9ilipJRb6nvja6qFJsasA0djuPcvclv2Ui+oQFRFPdw/sssXYR96HAjWKgqaiqFYDZabNVUytCZ62Uis7VE44sZak8NYQn8e8Q0/tG5q5+u6ycJgnAygK7rWeE/xb7pPxA6EEkqPf7T6byGzwWKaqzAxP/mauBfDdnjJXTmebQ/9gcKO7ahDRrMl7EEAgKKrtMil7DbZN6PxEkmFUY5HfS1WfDKEvPiKY4MessTMMBEjxO7JPKrukq+z+YY63aSVFQu3rgdCSMo7Ot2oiJQbZG5qr4KVdeZHUvyWkcUHbhneyt39K3hV5sayt/loQEPe7udNOWL/LKukve7Yoxw2rhhi5GL/yya4NzqCh5qaCWlalSaZK7uVcXjzR2sz+Toa7NwfnUFsZLC7JhRQE5JGqEaU5ljsRPxZRkCU9x0fZnE5JGI0M6WwvdsYZdU+7riSg4Sj8bmdGKtNSFnJARJoP2DOFpBJzTDQ3JVlmxDEe9oO77xDmpO9BspaZuId6yDrnmpHpanhXaF1Pd5nAOspHcj6Qmi0Z30Q0FH50Ar5qCMroPskgwHvt3qK6JZQJUUCmqBpJJgh3UT70de44TgmYQnVSMoErpTYFMqRB+1iLabBI1TdHFlzS10KR18Hn8fVdc4OXQuqzNLWZtdgVv28mTbQ+XXP9X2e66uuQsVBdkm47B60TJpTBVhfEccQ/vjD5PfvBHvwYf1+K5T387DVFMLkkTsvbcInnImerFA8313ll9TccGlKNEI4sDBpJctMTgOgoBzv8kEjj2R2pvvJLVgPoJJxjVxCrogIP4IN0GQZczhSqouv4pSNGK0ul50BU133NRjwZNZvgTvoUfgmX4gtoGDUVJJfIcegZqM45l2IOklC4m+/TqmyioCx55I+xOPgqYRmHWaoUArihR27KqJuCdPQ00lKLW3Yx82HDWV2mNssj+ImuxWBZBlZI+nLJIo+/y0P/kYosWC78hjCU/WKLRZMPv8/+3dxT+CfzRYFAVBsNF9iQqC0I/dTJD+H3pC10HdrdFfAEIeE5oGBUXHYgZR19F1KCo6iqoTTyt4nf9z7ExBFDGHK6m80tgWx4GlySy/7FXFndua2dvlYGuuyLx4CgE4uyrEWLcDVdfZ3+emMV/g6vpKvsvkGWy34jNJiMCHkRh7OR005gs809oFgAp8GEmwl8vBp9E4IHB2VYgbtzaSUXdNVElVJVpSEAXYSZT+JJLgzr613LK1iUcH9uKIgBdlt4mzuVDitfYIv6yrxCVL2ESRPzS2l3cam3MFHmho5cbe1cyOJTEJAjZZQrKBaN2NmwC0fxJn2H312OvMpDfm8Jj27BavMfVCysqs/kVDuX7Q+GIXqQ15+v+qkobnushsNf4qbR/EGXhdFVpJR0en/9VhEitzlKJ7drloeQ3ZtWtnJjtFPKPsFCIKvc4O0vRyFDWn4RpipeYEPwhQiJSQwwL1ZwfY9mhnOaBUnuLmk8KbLMx9zcLU14xy7MPh/hOJK114bT4EXaCxuB2HnMctD+Sm2t9QoICISFKJo+glftd8B1q3jera7HKuqb0Lh+hkVXrJHmNfnVmChsZU98FkhSwur48SYOnVh9rb7ia3bg2i00nojHOJvPEyWqGAc/xEXOPGE333TYqNDQZP4p03epy366Xnqb31LrLLl5XJcOg66flzcew1mvgnHyH7fSCIZNauxjlmH0Mw8Ls15R2HpU9/TFXVJOfOIfrOG5iqawkePwsEwSDc7c6lkCRkj5fCjm1E33qNmutuofPFZ3FPnU5q0bckvzTk2pWuTlobdhC+6HJa7v817U88RviCS6i6/FfE3n8HNZvBM+Mg5GCQpttvBCD6JtTefi/WgYONHRcgeX24px9Ay313Irk9hM48l/ymjQgmE4GTTiM578uyym1u0/fU33U/hbYWdN3/M/ZY7sI/OjvdBnyCIU3+V2AicNbPNaj/7RBFAadNIpY2JgG/SyZX1OjoZscKQKXPhKoZCgUlReeVL7uYNS2I1ymTzpbIlyCdUygpUBUw47T9vMXxnci4BFpLbVQLPsa6HTTlC1xaG8YuijzU0Mp+HieHBbysTed4sb2LvKYz1GHjkpoKMqrGwX4zG7M5btnaxm/61fF9tkA/m5WtuT3XFt9lcmgIrE5nWZfJEjaZsFgEDg/6sEsiCUXBJYkMd9jxmyS+z+RpKZawiyLjXQ5U4A9N7dzYuxqfLBHrrkNsyOZZkExzRMCLqus9UlIAnSXjd5nicTHV5+KFti7OdPmpOynAjme7yq+rONBDx6cJXCOsIFjRt2kcEzqF9+KvoqESlMMc5zmV+LtGnSe9Ic+OZzupPNJLIVnENcSKo18lueYC25/sotip0PRqhKpjfKiDcnzge5WDDz4WfzxIZP4uQqggg3eMwyD9DUiDKOAeaqPh+S50XafvRRUMuKYSQRTItRYpdCrEV6epONhN1pGiNKJA/4cCFJpVPDVO5muf81V2lwmRV/YhCSKfJz7iRNOZ/KX9j3SWDNluh+jisurr+X3zXQgIXFlzMyvSi8uBAgwF2vnJOczwHA4/Mk1VmKuYl5jNZM+BZLUMLjxlHwa1kEcOV6EXC0j+IHV3/gY1nSazfAlN996O96DD8R97IgYjsGcQ1TJpRLOV/I49W3Lzmzci+7xkV6+k+tpbEESBxpuvwTZ4KDXX30ZhxzbkQBBzbR2xT97HMXos3oMOR1cVI0CYzfiOOKaH14b3gIPRigWKzU1YBw420lfLl+CaNIX04h9IjnRbv/qPP8k4h6YTffctKs67GDQVBIHGO27qcUzr7++n5sbbUdrb0AoFzLV1CBYLtbfeDaKIrmloqSR1d/2GYmeH4a5XfkOV7Pp1WPr2B00B6edPRf2j3VCzBUFYDozHuDqu1HW96ycO+/8tdF3HbRcRBZlMXmPU8P5YbE4kUUKSZT747FtEUSBbVMkXdTRd5/gpAVRNI5pS+HZdmmWbMvSrsnDoPl7SuRI2i4gkCpRUDZP08zhmpZQkS9LzeTvyV26oeYjp/iAZVeOWrU2cEg5wRV0lS5Np7JLIU61GETFsNtHfZmFTNo/fJPFxJMU4t5MRDhuKruOTJRryRUa57D06owAG2Kxlwt2n0QSX1oSJKgpPNHcQVVSqzCauqq9knMvBplyemeEAeU0jWipxalWQpKIQNMm83B7h5t41vNIeoaVYZIrHxSSvi5ymYRIEQia5HCAA7KKIouvMqvTz2x1tbMsXaMgXuHNsNUMH1pLZnMfey0J2W4Edz3Xh37eWTc+1gQDDr5zA2L0mUtKKWEQruS+g7f2IoaV0UgDXECuiTWDozfV0fpkk31wiMMnFkNtq2Pp4B7YaE87+VrJtcIRnFt8VVzDQPYyBN1TR8WkCwSRQeZgXwQTrrmvENdRGzUw/klmkZqYfS1BG03RMPhk0sMsWUg1ZrNN1lgvzqVCqeD35PK3FJrwBP5f6r+ejxtd3++wOxjkn8UDzrfS29mdr/vtyoADIaCkWpuayl3Mci1Pz+Cj2FoNtw9nPPY3xrqno6OS1LNFihIQSY2/XBBan59FSNIie/ayDqDH3IqIY08MPpfgFUUKNR2i65w5qrr2Z9MJvibyxiwUdefVF6u55AEE2Y+nbn8LWzeXnHKPHgq7hGD2W9IL5Pc5rHzaSrr8+i2u/yajpJIlPP0bLZgx12lXLsdT3JnzxFeiqimPEaOKffkhu3RrAKLBXX3UDjnH7Yundh/zWLVh790GJx4m88iKuffej1NlBodvnQldVTMEQhcxuig/dWXk1lSJw0qnIPh+hcy8kt+E7Su1thuf3D4KfmoiDriOHK1HTKbJrVmIbNgLBZKbpzlswBYOETj+bxNdz0BIJQmeeS+67tcQ/NoKGKRBE8hg1vr8vN/qvwT9qfjQRWKnr+oeCIJwG3CgIwh90Xd/x8w7v34tv4kleaY8SKSkETDKzwn4mef95SrWuQyqn4rbv2g28+PonBAJBbGYRr1MimlTIlbptPQsaz33ayTmHhnhzXpQvVhg5y6bOIgPrbPSqMNMZLyFLgqE6alIxSwJmk4jUHThUVUcQdKNo9l9EUS/wWcxoI9yQW0BlqYt6/9nc0beW5nyRjyJxtuQK9LYZfd77e13s53XxaSRBU6HIMSEfRwa9vNweYbTLgVsSub6+msdb2qmzWDjY7+HrWBINOCLoJVpSiHRP4g35Ik5JZGte5ZCAl6/jSZoLJf7Q2M6RQS9fx1PsyBe5oi5Mc75IU6FIjcXMuVUhduQLZDWVOquZyV4ndVYLT7Z0si1X4ECfi8trDbmRrKZhEQQurqngnY4oo91OrqwLowNbc3luaW9hqN3KzCkBaFZ67DKMHxaafp8AASyVMoNvCrLtQ6MzpvoYH0pGZf1tzez1SC++v6+FXIOx4+j6OkXvC0L0vayCYrvCmqt2aTzVHT2c9VNX4ahyMvLcsUi6jJJRESSBfldUEvk2TXJNDv9+TkSLSmFzJ5m5G5DDbjzHDifty1GsTrM0M5+J9umsSC9ikns6YXMNX8Y/pqjlOcx3Am9HDdWAvtaBrMuuQkfHKtjIqj0D+BjneMY6J+KRvQy2DeeNzueZFTwHEYk/ttxDSS/il0NcVn0DKSVJshTn4qpryWlZRARkwYSma5wauoCSWsQq9Wzx1PI5EnNmoyViqKkEmTUrezzvOeAQig07KDQ3E77gUuIff0Bh+xasg4bgPeBgOl/9K4FjTjCsUb+eY5gLHXIE5to6JK8P68DB6KUSpd0UYlFVCtu2oHR1YaqpMWTBuwMFGAX25LyvsA0aSsdfnsRcVU1y7peosSjWQUMQTCYK27biO+pYUt/Ow1xZTeCkU2n9/W/L7HHPQYciiBKF7VtxT5lG15uv4J60P7bBQ4m+8TKyx4tj73GGIVI3nPuMJ714Adm1q3FPnoa1/0C0fB7ZZqfutl+jl0o033M7aqq7tvbtPCqvuArzmlWIFiuizYaey6HY/h2h4h9PQz0O7CUIwl4YLbRPA88DU3+ugf278U08yRPNnRS7C1xdJYUnmo3V8z8bMARBQNMgV9BJZIztu80sUuU3UyhpSJJQDhQ7sWxTljMPhrmrdxW9rjyukrfmxfiuwWDcDu9t48QpfuwWkW+/S+Owikwc5jRqH6pRA0lnVUJe03+p/iEgoHdLmDpFB1ZJJafp/K6hjavrK3mkqR1ZEKizmnFIIvv73Ny5rblsULoileWefnWMdNr5S2sXvazVeGWJK2rDmEURSXBwkN+DRRTQgD81dXS/L9zYq5pFyQxfxJK4ZYkzq0LMjiZYkswQNJuwCALnVYe4c1sz8e50U63FzC/rKqm3mUmrGiOddvyyzNOtHaxKG9/ZG11xSsC9/Wop6jqSILAlm2d+MoPfZGJRIs36bI4rayu5ur6Khck0y7NZxgftBI/3EnkvQWZHAe/eduLLuruMdKiY7kGwCAy+pYbGF7vwjXOw7qYm3KPslDJKOVDsRNsHhhlR0+vRHhpPkfeyjJq+L2+rzzPANZTiVyK+0Q7UjGF2VHW0F9ktIggK6vZmup7e6RzXQmZpA6Y7xvCx8i4H+47m1w3XltNFoxzjmBk8k8bCDsLmam6vf4il6QXUmOso6sYEtzX/PYcHTuCz2LsoKBzhn4lNtPHn1t9S0PNMdM/g+vp70dF5veu58rmjSievdD7FsYFT6Sp1kNHT/KX9ESpNNRzmPw6n5KLW0gsZmZSawiymcEouY9iiiJ43fhvRasU6YCD579cb14HJhGv8fjTdfRvoOnoxj/eQw9E1FcFkJvLWa2QWzse7/wEIkkTVr64HXSe/dRNqNoNrwiQsvfuSWbncME/67ONd17bVZticyiZKkT2TIsXGHTj3mQC6VjZuAsP4KL10McWWJvRSiYpzLiS7ZhWW3n2ouf5WlGgXksdLfuMGWh76DRVnnovS2UF+w3doyRSBU89Ay+WIffA2lZdfZdQo1q/DOngozjHjUGJxJI8H69BhpJcsQpQkio42bH36UmxuLAeKnUh++TnhCy+n1NFG2yMPUX3NTVjVEvDzE/X+0RlF0XVdFwThaOBRXdefFgTh3J9zYP9uvNIeLQeKnSjqOq+0R//pYCFLAj6njKrp+F0SOgKnn3QEqgazTjuXq3958Q8bWrBZjB2B3SqSyKgMqbeyo71YDhQAa7fnmDyiRCavUhM088i77Xy1OsW1J1Zy70stZAoaFx5eQWukxD5DHFjN/1ydQ8bEDO/hvB99jdW5NRzl2p+irtNeLBEtKTgkkbRq8B5u6lXNomS6h5O1DnweTTDaZefi7hrGzsDw6y1N5e/3IL+bvjYLx1T4mCn4MCGyJV/gubbuP3EBNmXz3Nqnho5CiUipxFi3g/mJVDlQADQVihR1jc+7UnwSSaADVWYTl9SG2ZxrKRfL3+uKs5fLwd3bm7mmvophDht/GFBvyFIrCtsaCzzR0sF51SGm+dzo6OQAy5Eu+h7hQcxp1I+1E5haILMxh2ekA3OljJbT2fpYG8H93QhmAXTwn2raY7UORieTIBhS4z2ggyVj46Blp2Ed58Cxt0jnF0la34+DBrZaMwOuqUJEJfHJdz0OVWNZ7FGdfuFBfBB9vTyZS0gc6DuaB5pvI6YYXWJ+OcjFVdfyYsefOCt8OXWW3jQWtvNl/GMuq7mRhcmvGWgbyu+aby+f/6vEJ1SaauhrG9CjZgHQWNiOQ3IhIfNC55+wiXaOC57KM+0PE1MiiIgc5j+e8a6pbMttZLhjDIIgGOKZ0w4kOe8rSrEonv1nUNi8idyG75CDIUpdneWOpMSnH5H47GMsvfvimjiZ9ML5hj+1SSb+6UfEPzU8LVwTpyCONZP44jNEpwv74CFohYLhI75sMXIwRPDk09GUEokvZ2MbuCenybHXGOLvv0PVldeQWjgfNZHANWES5upanOMEPFOnI5jMSP4AmeVLEESRpjtvQnS5DLnx7hSTaLUhSBJqMoleqSKaLdgGD0VJJshv2YRrynQsffqhJhI03Hwt6Drhiy5Hz6Sx1tZhqqxCMJnQFAVB2nN6FkwmRKcLs9VKzc13IkgiP1Y3+jnwjwaLlCAINwCnAVMEQRCBf09z778JkdKeHSl/7/EfQteNrqadQUDrLl5bzCLvf/QlgwfUs/r7Zk4/6XD2GTOMMftMKhfAAWZO9WOW4KSpfp74qJOQx0RT157s5k3NeaaP2hW8mjqLdCQUzju0grtfbuEPb7dx7zl1ZPLaPx0srJKNCa79mWqbDsUSuglygkjYbLjXnRwOsCiZYW06y1CHDcuPpLycksSCRJpZ4QBLkhlSqsoXsWSPQPxZNMk9/WqJlVQCFhMlTeshFghQ0nUa8wUurq3gsaYOhjhsPQLFILuVyR4XZkFkW65QDrytxRKfRRNM8br4OGKQx/wmmbSiouqg6DpzEyne64wjCnBEwMuNvau5ZnMDYZMJkwBbckW+TaRZlEwTMMnc2KsGkwbx4RLCcBff50sMKEnYgF5nVpBrLiLKAs7BVjrlVkSziL2/m+zmXb9f9Qk+NE3Du7eDzi92rRZlj4SW1UksypLbXCQ43Y1/PyfxZVlyTUVyTUVa3o4SnOJAclj4oWyCaDEhIpZ3CwBD7XuxNrO8HCgAokoXqzJLmOCaRlepjROCZ2ISTBS0AgEpxHGB01iUmrvH77k2u5yhjr2wCBYKu73HYNsIRF3EK/tJKFH29xzKx7G3yu+pofF57H32dk6gylJHtNSJTXJit9vR3B5qb7qTYmszmqoROvci0DTUZALB9INpRdcx19RSamtDDoYIX3Q5osNJzfW3ouWyJBd+i+/o48msWErVr65Dy2bpfP5pAsefhGvSFDzTD0RNp9BVDcnrJbd+HVo2S8V5FxP78F30QgH3tANAFEktmEd62WIqzrsYc129MaZ8DkE2UWjYQWH7NqSKCtzjJ1LYthVTZRWltl2EUsnjRfJ4iH/5OcHTzsLafxCiyYR91BhEm43smlVIa1dh7dWHlrtvAwxCX+qbr8tmSaLNRvX1tyFYrZh79e5puiRJ+I6bSam1mfYnHkWNx7D07kv44itQRAHZ/vOmo/7RBPdJGK2y5+q63gbUAr/92Ub1P4CA6cfj5t96fHeomk6hpNMWK9HQWSSd1xDE7pqXDlU1NSRzKsMH1nDY4UezePFiZBGq/WaCbhmvQ6ZftYWiqjOst417z61leG8bE4bs2SM+sq+dl+dEcFglTpkWIOAy+usVTcdlE1FUox33vwJJE3DEFbLvfUDmgw+R2zJ41CK39K7BLok4JYkLqkM4ZYkX2roY4bT3+H48ssQ+bger01lUXef5ti6ckkSkuGfA1XV4rrWTqzY1sCKVJfgj33O1xYwZODzoxSNJHOAzguQxIR8H+j3MiSd5tLmdGX43x4V85eOa80WC3ZOOSRA4ozLIZ9EEdRYzRc3YLWY1jbSq8UpHlM5iiTMrDVXctzpjvNkZI2CSuaFXNUlFZVM2x4ZigUebOniwsY02VUF0iygZjc0Pt2KtNKErOv0uqUCRSzyXfQT3lTrhi+wEj3DQ524ftoEy393UTHCqi8rDPZhDMp5RdgZcVQkiVB3pxd7Hgsklohd1+lxUUf53ZrYVkJwygTP2BXnXKtI2vIpOewSzYOZA75G7HhftpNU9e/izaoah9pFGYV7NkFHTvBd5hW9TX5JWE9RZeu9xTL2lLybMnFN5JUE5jIDAEPtIDvEfi4BAUc9zZfXN9LEMoK3YzBG+mdxW/zturPsNN9Tdx/LUQu5vupmn2x+mpdhARk0h+3zI/gC2EaMQzWYEQM1lEMwWw/fihJOhm1Rqru+N76jj8Bx0COGLr0AwmWh9+AGa77uTjuefwTvjIGIfvktyzmyDj4DRoqsVCpTa2+h84S+0PfYHJLebQsMObIOHGlLn387Dd/jRhM44F/fUGSjJJNZBQ/EffTxyKIRosyNIIqXWFvJbNtH53FPkNq7HMXgoqaWLsfTrT/iCS5GDIeO/4/VRdcVVIIi495mA5HCCppJvasQ+bARqKoXS2YGlqob8lo0AiHY7ss/fw1VPy+WIvvkKajSCVipSc+1NBGadhu+IY6i5/jYks4XWP/wWNR4DoLB9K53PPYWW7UnE/Dnwj3ZDtQG/2+1+A0bNAgBBEBbouv63tbx/BIIg/BY4EigCW4CzdV2Pdz93A3AuRkv+Fbquf/q3zvOvwqywv0fNAsAsCMwK+3/yWE3TaY0W0XSo8JhQNZ2uhILfJbO5MYaqaTidLtq7ksyf9wXXXX8TVosIOphlAR2dDQ15+lRZ2NaWR9Ngr752XHaJMw4I8s63MQQBjhzvpS5kJlvQSGQU1m7PcsPJVVjNIqqmc83MKt76JobLLuH4O9Ief/NzxGI03HItet5oNU1+9QU1N96O2+tnH1EgazO8rSvNJmKKyhPNHVxeG6alUEQDhjts/KWlk2k+F21FYw28LpNjH4+D2dFdq2mPJFHUdTq6d22fRhNcXV/F2kyWVHfqaJTTjgjMjqcY47TTkC+wPV/gV3WVhmzI9pby+R5t6uCGXtX45SRRRWWc28E4t50B9hpEBD6MxFmbybG/18Wq9J5/qhWpLMdV+Ggvlhhkt9FVVJgTSxItKRwV9BEym7ht2y7ZkpfaI1SbTITmZul3eSWNL0ZIb8xj8kv0vr8PelrnvsR19O0/EM8gH5PNB9HxgBs1rZFvKyF7ZQZeXwUaZBuKRL5OkVhtjKv1nRj9Lg+jo+MeZkNTNcK/tLNGW4woiAx8+kiEBRFEuwVxsBfJksGsOWkvtnBx1bUsTH7NUPsoqi11fJP8nP7WwUzxHIRL9uCT/DzT9ke2FzdTY67nzPAl5LQMleYaXu56htMrLmKCayoLU3PR0eljHcBE93S6lHY+i73H0YFZuGUPO/JbeazlN1xZcwtPtT6ES/JwfPB0Lqu6ARWFjbnvqDRXs6Wwgb2c48jreb5Jfs6jLfdxS/0DOCQXss+HkkyQWroYx6gxyB4/aBp6IY9t0GDq7rofvVg0VuSrVxJ7900CJ59O4tOPKLUYv4Uai9L6hweouvJqfIcdSWL+XDwTp6KrCm2P/QHZ7cZ/3EwEk5n81s3k1qzCNWESrklTSS34BtHpJHDMiaS++QrJaqXi7PNIfPM1gmZInec3fId1wEACx89CKxZw7bMfbX/8HaX2VgqbNhjeGVffgCCbjLFrGpmVy4l/9B6OvUYjB4KoXZ1EX38Z2e0meMqZFLs6DckPQLTZdxHwdoMSjaDEosaOqFgks3wpos1G/PNPqb3p9nJQ3In8pu97yKX/XPhXscD+K9WV2cANuq4rgiD8BrgBuE4QhKHALGAYUA18LgjCQF3/oRHkvxY76xL/lW4oVQNNN4rYmq4TSSm4bBKpnEpnZweXnGsI9CqKwkmzTmbKtINo7DRSFE6rETT+OieC1ylx62k1lBSNaFLBahLoXWnmgsON1cuC79J8sCjOdSdVsXhDhtXbcjz8TjvHTfIzd3WSYyf6mDnVjyzp0NlMIViFqhui6CVVx+34+z93auH8cqAAQz469c3XeI86jtzsTzDPOJiw3YFVFJjmdfNsWxe3b2umzmLGLon0s1kY63YwzAkFrYAAfBVLck2vKkyCyIpUhkqzidMqg/ypeZepfVxReaGti3v61dGQL+KSRBySxNudUTTAJkn4ZJkX2iIcF/KRUfe8FJYk0+zlsiMiMMBuZVkywyC7Dacs0s9iJuWwMd7joKOo8vUPUl6DHFbe7YyxLpPnwuoQJ4UDlHSNlKpRZzGzIZNDhB71ma+TKU4f5SS2MEN6Yx7X4G5yXKPAHaGH2SpsZGHxK/Z3H4yrOUCqXqHmBD+Z7QU6v0jiHGDF7JOx9zKzdXXPANb0WpQ+F1fgm2FFHqNxX9P1ZYlwj+Tj2om/Jq8XKGgRTLqZ1zuf5eSK83GITmaFzqWj1MrC5NdcV3sPCTXGa53PElU62csxjlMqzufPbQ8QNtVgEixcVHUtMhIDXQORUxJHemdyqP94FL2ERbDSWmzCLFpoKGzl6fZdGkthUzWyICMhszG3ji9jHzHQPpznOh4tv2ZW8BzSaoohtpGMcu7Dix1/Iqp0ImPCbfIgOV04x+5Dcs5nIMu4p0wn+c3XZFcuxxSuJHD8SUTnfIb/yGMxV1cjB0J07MaIBoN7IblcFJuacI3dl/SyxSTnzAaglM/R/udHqL/vIfSSgqBD68MP4j3wEGquvxXJ4aDx9hvLHU2S10fNDbfR+eyTRpFbktALRVIL5+Pax1gLl9qNtFNm6WIyy5fimjINz7QD6HrhL5S6OnGO25faW+4ivXwphYYddL3wDGCsiHMbN1B31/0k531J8NQzDVJgRUXZ42InnOPGU2hswNZ/AKaqGgo7tpUDhGAyG/IfxV0pTkuffvw7BDX+VcHin8576Lr+2W53FwIndN8+GnhF1/UCsE0QhM3APsACfmZM8rr/S62ykmiUmGwWkUzOmFIEwQgEE8YMYsWKlRRKBofC55TJFXZNO+m8hqZDfYUZl01CEgW+WpcmX9SoC/vI5EvYLSKbmgus3Z4jkVHJ5DUG1VoIe2UaOop4HBLLN2dpjpQ466AgDqtIyVNBsaCzbFOG9liJKSNcqJqOIILX8ePlJkH4kaykICCIIr5DjkBD571onKSicko4iFUSmRNLEpBljgx52ZzN08eq8WTb3Qy178M51fvzcluG+3e0ckLIx7W9qjALhnxIpNQz+55SVJryRTRdR9F1rt68S+JjcTLNHX1qsYoCm7J59nbvmZutspiY6HGRUFQEYJjTziddcdZn85wU9nO41cK7nTFOqPAz3GEre4OPcdoJmUw8Gevg7n51NBeKrMvkGOdy4pVlPo7ECZhkbu9by2NN7eUdUy+zGUfITGRHEmuViZqZATY/1IqS0ro5FzWcMvUCxIJIJlUAFLb/pRM06P+rShpfipDekGPwrTV7fBatqGH2SUTqoqxOLuvhJZFQYyzPLOK7zEo6Sq1cVnUDp4cv5qm239NRauX4wOmsyS4jKIcxi2aean6IUrdA9MrMYuySg8uqbiSrp/ljy904RCdXmK8m8fwKio1xzGMqEY+sR3OJWEQbXaUOthc2c0LwDF7veg5FL2ETHZxRcTHoOidXnItNdCALEvc1GuxkEYmzwpdS1AssSH1FP+sgKoQqTgicgVvy8mHsdQ71HY/X5EP2ePEceChaoUjsnTdIzf0SMEhurX/8HVWX/6rbf8JKYdsWzPW9KTZsL38fosMBCAhmM6LV1qM1VbTZcE6YhJqIk165HPeESXgOPIT47I9RcznQ1F3GSRhe3rn169BVFTkUpvKiy8isXEaxqRFr775Gyml3DTRNwzN1Os333lGe7BOzPwFBxDZkGPEP3+3xu+rFIoUd29GLRfJbt1B58ZUINhu1N91J5NUXUaJRnPtOwFxbD5KImkqRWvANtbf8muhbr6GmkiipJJUXX0n7U4+hZTKYqqqpOOt8BNvP70X3P6cv0RPnAK92367BCB470dT92B4QBOEC4AKA+vr6n3N8fxeCIBBwyyiqjiQJCCVwWg0Gd65oBAaHRSTsNSFJAtHUD8g5ms7EYU5G9LFz/dON5AoaI/rYiCQUXv06SnNXkVH97Fx9YhUPvN5KsaTz/sI4Vx5XyR/ebqPUXaNoj5WwmkUEBHKKwH2vtNASMSaKjxbFuW5WFQNqLCTShm6VqumYJMiXwGYWcO43idhH75bzn4LZgnvagQgmE5LVRk5VmSiauGlrEwsSGR7oV8fQmgoUw52TvVwOBHJ4ZA9fJt5mrDPC1b0Oxy9X0FHUyKgazYpCUdW4pDbMn5s76CwpVJlNXFYbZnY0wQy/hy+iiR6rD0WH5akMwx02+tus7ON28m0ixcas8UevtpgY4rDRXCjycGM7CVXFJopcUBMioWr8vrGd+/vXcWzIh1UUOSUcwL6Tn6Lr3LejldMqgyxMpHm1I0pvq5khDht3bW8ujyNsNnF+dYhfb2+hxmLiQL+bkgrBS4IIMZXWt2JGoACDj/FqFM9ednSrjuyS0HWwVpmoPz1I6wdxJIuA7JYoJVRs9eYerbaVh3nRnCptpeYegWInMmqKKksd63OraSruYF7yczpKxoo3ZKpksvtAasy9iJY6y4FiJ77LrGK65zD+1PoAKTXBea5L6LxzDkokgxxyIvfxYrY6KKKQ0zMMsY/kncjLiIj8ovoWVBSCchjQeazlfppLDQgI3FL3AFnN6AKb4jmQ7fnNzEkY3UqLUnMZYd+b44Kn0lzYwRjneJTuUr0gishuD6VohPSyntIh2k7SmyAg2uyYKquovPAyWh9+kFJ7K5LHS/iiy0mvWIZeKCB7vZhr6yhs3YwcqqDyoitIfv0FXS8/j23ocLRsBs+Mg/FMnY5eKhle3T+AXiwiOl2EDj+a9qcep9RqpDvTC+cTOudC6u59kI4/P4JgthA44WS0fL7HrgAgs2Ip7v2nI/kDe5xf9nrxHnYUWjqFlk6jxGJIDif+E08BTaPU2YHkdlNqa6WweRPmmjoyK5fhmjQVS5++CIKIHgpTd+dv0JUSgmRCtNuQfubiNvzrgsWP7oEEQfgcwyjph7hJ1/V3u19zE6AAP+41+neg6/oTwBNgSJT/s8f/qyBLAg6rWF5w6LpOoaSVAwVApqDhsksIQJXfjK7rJLMqmYKGLAlMGOJkW1uBy48JYzeLuOwStz7XRCZvnGPF5iyiKHDiFD+aDusb8ny2LMElR4Z5f2G8exy7aiBdCaUcKMDY+r0zP8aZBwV5f0Gc+gozE4e7+OucKGu2ZRlSb+OU6QHqfv1bUt/MRVeKuCftD1YrktUgVtkkiYCscUVtmA2pHMmchleScNoFPo4k8JtMbMrlOch3Gtvyt7M0PZel6bns7ZzIMf4LiSoqCxJp3LLEQXYrl9ZUoHW3r3YWS2zJF1AicXw/Uuz2yjKTK13kNZ1VqQxnV4UwCQJtRQVZgHhJ4fm2CInuFFVO03iquZNf1leyLJVhSSJDQ6HA4mQGHbi1Tw3vdUQ5IRzgyu46yI1bDILdeI+r3Iq7E+3FEmhwf7gGSwZiOZUnOjtpKhQZ7bJzyhl+MpvyPQJGKaHS8mwnfS4OE5zsQsmryHYRz3Ab2YYiFQd6KEYV+pxXQWJNluyOAv7xTuz9LGTNCTpz7Yx3T2V+cg5692gkJMY4x/NBxGBl20Q7DQVD/uKE4BnYJBsfdL5GRk1zafV13dyZXZ+k1tILAcoy466Si1g0g3lQCNvVY1AtOiuzy6gQK+nKd9BSaOCm+vvIaTlkzJhFE83FHWzIruWwwPFk1DQvdz6Fjs5Ix96syixlpGMsj7f+psfvtya7jBOFMwiZq0AH6w8z14KIKRymsJtVL4KA5PPTfN+dhE4/G9kXILFwPoETTkL2B5DcHvLbt2KpqiK7/juKba34jzqO/MYN+I89kY7nnqTYYPCGC9u2osTiBI6fiY6OLhhEutTC+eV8v2C1Yh82Akvf/ui5bDlQ7ET84/fxm82EL7wCvZin7ZknqDzvoj2uVVNFJYUd2/EeeAi5davL1rO2oSPQ8nma77qF6qtvpOUPD6DnsoTOvoDClk3kNn2P5HKjF0tUnHcRkj+Auara2MmYzAiShGSxGCKF/wP4u+8qCMJgXdc3dN+2dKeGdj43Xtf1nTuA03/seF3XD/iJ858FHAHM0HcZazQDdbu9rLb7sf9oSKKAouqoGgQ9pj12D7IoYJYFNN3YyRYVHYdVwmWXSLRDR7yEKAr8+YMOkhmVO86sKQeKnVizNctp0wPc/oLxdWxpKTBtL1i6MYMAzJwSwG4RefKjDg4c4wWMKG63iuQKGpoG67bn+Pa7NN9+Byu3ZJk2ys3Xq1PMX5cmkVG5+MgKAkcd+zc/p9dsYqQuEEjL3P+XVjJ5jQqPxG3n15DVdMa47CxPmbil7iE25bZRZQnglWpoLSrcsW3Xn29ePMU9/er4xcYd1FjMnFUVJFZSODboo4/NwpxYknR3sTtgkhnjsrE0leUvrbsIVceFfAjAm50xbu1Tg1eWqDKbcEoigiCwIpUxpNOBGquZHQWjxdYqCsjAQQEvj3anlu7tV4fWfQkKGAH/h1wYJaUS+22Uil+EuLultVyMX5TMoLvgmKO8dP3VUN6VbCKSVcQ9zE77R3GiC9IMvaeOhhe7iC4wJo+29+PUnRagfU6c2hP8JLeLqL4CulNifWYVRT0POlxWfQPfJL5AFEQmew5E0AWSapyzw5fjNwW5qPIaZsfeZ4R9DHc0XFXmRCxJz+fYwKm8G3kZFZWAXMHxwTNIqnE8ko8DfEeg28w4Ht4fu8vDhuI6nm94rBxcpnoOxiV7iJS6UPUSXUonm3PrWZI2pDbmJD7i2MCpXFZ1A5IgcXTgZKN7SpARf9Bo6RTdiEhoumr4vFBALGUw5SzoGggmK6EzzqPlN3caO1tBwHfksaSXLUGNRYl/+B7O/SbhHDmK9PIl2G12ih0dqPEokVeNdWbis49wT51O1S+uBfRyoNiJ9KL5uCdPpe2PD1Jx7kVYevWh5rpbSM790thFT5pC50vPEzzlDPiRBYsgy2j5PPmtm0jNn0v4tLMobN+Ge9oBZVFB0eHEf+wJtP/5UWS/n6pfXIfS1YGpqholFsUUrkQOBul66XnqbrubxJzPKDQ14DvyWHyCgF4soiTipL6dS3btajwzDsI5dl+ju+p/GD8Vol4CxnTfXrDbbYDHdt7XdX0t/yQEQTgEuBaYquv67hW+94CXBEH4HUaBewCw+EdO8R8FQRCQJRAEHV3XsVlEUrldhdiwz0QsrZLufsxhFY0ahSRQUnV6B8zc/GxTmfEtCAKSaBTPd6KuwlyuWwCM6GMj4JK57qQqaoJmJAEyeZXjJgXwOEQOHutm0nA3iYzRmSUJ8NzsXZPthsY85x4SIuSR6UworN2eQ/sH9me5nM4j77SXg1lHQuXOp1u487watuWLbM2XCJud9LaO7NZy0ni3M97jHGlVY0Mmx119awyfbODBAfW05opsyOS4vlc1G7N5TILAKJe9TJDcHe92xXhoQC/qLCZCJpmD/R5qrWbmxJIoms61vYxV7HCHjYBJwtu9IitpOl6TzN3bG8qGTXNiSQ4NeHinK862XJ7zqitIqiomQWB9JsecWIJwSaKxrUTRJpBK9wzkK9JZTh3nI/Z2HGuliV7nhEhtzBGY5iJRULEcYvhQ7AwUO9H6bowht9WgOzQ+rn2ZbYVNDMmO4CDvkQxWB9KuRlB1lf62wYiIWAUb63OrOC54Gi91PElbqZn+1sGcFb6MrfmNPchzn8be5Vj/qdxS/yCKXsIq2ni54yl0QeeK6pv4NP4ub3a9AMDl9ht5O/LXHruQuYnPuKr2Dnbkt7IqvZijArN4pfPp8vNBOUx/22Dei7zK5tx6eln7MTN4FkWtyHTv4XwcewswlAEurb6e5zseZ2POYEcPsY/ktNBFaF0iqQ15nIMtyMEQdb++HyUaRRAEsmtWEX39JeMcJhOizQE62IeOwBQIYgpV0HJfz4RE8us5hoWqy20QnXbrEpKcBoFOy2Zp//Mj1N11Px3PPolt0BD0UpGWB+9Fy2ZRE3G0bAZrvwHkt2wqH+879EgSX8/BM+MgTOEq0ksXE5/9MYETZlFz051o2TTmmjo6nnsKpbMdpbOd5rtvRQ6GqLziKtoeeQjH6L0JnXkejTdeTbHlAHRVxX/MCSjJBKIg0vboQz3MlTpf+Av24Xv9rwgWwt+4/WP3/1k8AliA2d2V/IW6rl+k6/o6QRBeA77DSE9d+nN3Qv2rIAgCoki5yO1zyiQzKmaTgKrqPYJHOq/hsEqYBKNA/s63MS47upJ5a5J8uSrF3NVJTj8gyF+/iFBSdbxOifMODfH87C5EAcYNcnDgGA+PvtfOoft6eOD1Vpo6i5w41U82r2ExwdiBTp76qANZFtjRXuCMA4KcfUiIDxbG+bpbVkQUBa6fVc2WljyLv8+Uf9R8USVX0LCaBSwmqYf/hg50JnrunNpjCoUc5NH4MpYipaicHA6g6dCUL2L+Eb19SRCwiSIJVSOnaTSlioxw2hhokhAFgf42CzZRJFIyaiyFH7QHqjrkVY11mTxhi5k6i5mbtjZR6I54X8aT/KZfPRfXVNBVLGHv3mV4TRIJRe3h7PdFNMEVdZVcU19JyGzi/oYW2rv5IdN9Lm6qrablZqMuYNYEJOjBaa61mJFkgSG311DoKtHyXgzvaDsRp86tnYYu1dOhPetqWklHtIo8E/kDa/KG7HZ7ooWuUicH2oagFBvw2UdTbx9Lfl4zpmyKkQeP48m239FWakZC4pjgKTzd9jCH+Y/b4/wtxUbGCZMwC2a+TX6JgsIY+3jyao7FqXnl14mCSFZN9zhWx1j4DLINZ2lqPmbBwmH+4ylpRZalF3CQ7yhe63yWHQVDNntrfiNPtz/M0YGTCZhCXF59I2syyxjl3JcdhS3lQAGwPruazbn12J+pJ7PZSFgEj3UgH5iiwmyh48lHKTYaBksIAv7jZ4Ig0vrQb8ppHdek/fEdN5POp//Uc9w6oOl4Dz6c+Mfvl88ROP4kknPnGK8pFtGVEta+/Ul+9UX5WMntwVQRphTtouLCSyls3UJhx3bsI/ai2N6GubIaQZKxDR1Oau4cUFVjZyNJCCYzVVdes0cbqxKPIcomUFWKTY3ouRzmXn2QPR4K27eiptMUt29D9gco/iD1haLs0Sr7P4WfChb637j9Y/f/Kei63v/vPHc3cPd/5/z/kxBFo9jssklU+GTMskg83XNyFQCTLNDcVSJb0PhsWZLPlye56dRqvC6JtoiCIMA959aSymqYZbDKAsfs58NiFimWNJq7iowe4CCV1WjoMAqk78yPcd+5dWiahiiKnDDFTzSl0PegEO9+G6V3pYUJQ436SMgjY5LhoTcNhugZBwaQJYFossSmljxfLE9SHTAzfbSbWEqhV6UFt01CFKBftYUtLbsu4pDH2Ln0slhwSiI1FjNZTWNVKsvqdJazq0MsT2XK3hOV3Wq1kZLCwmSGz6K7rDrPrw6h6/DX9i72djmwiCJ+k8y+bicLkrsmtKEOG5tyeWbHknwRS/LrfrU4JYmCptDXamEvl53tuTwDHTbMkshIl50ZAQ8lTcMkij3STCowO5rg4poK3uiIlQMFwJxYihleD75TfJRW5rEoOudUhXimtRMVcEoi57kD2POw9fEO6s8IUuwqUfKIPN/WRbZ78vheLeAcbCW9YVdBNHyoB8w6a+I9LYHXZVdwjO9ItkX+SntqHvWewwlFhhF7eyWBg46gudupbrhjNGszK9hW2EhSTTDWuR9L098C4JMDHOY/ns5SK4+33M+sivMY79ofDZVNu03cAN9lVzPONYkFqa/Kj9Wae+OVfTQWtnNc8DRSaoItue+xiBZOr7gIq2jjpe5AsROdpTbCpioKep6VqcUMs48mXUqyPb+ZH2JbYRNH3jqa1KIijc9Gibyfoe/0ADl3nsrLrya3fg1qLIZz3wkIJjOdzz1dDhQAqW++wjPjwB6tp9aBgw0RQV3DPWUa9hF7ocSiWHr3NRRnSyVK7W0osRhaLof30CMMq9IVSzFXVRM8+QwSX80h/sn7oChUXnUDrklT0bIZKBbRigV0TcU2cAhaKkl29cruC0hFV3NIPi+hM8+l7fcPUGxpQrTbCZ19AfHZhk6VffhI1GwG36FHkFm1goqzzkfLZTHX1lPYuhn7iFFkVy0vf0bJ40Gw/vy6T/8IfipY1AqC8DDG3LbzNt33f7RD6f/vEAUBs8lQhE3mVJI5lXw2yc3XXMzq1WsRBIF7f/cn9puwH4WShrrb6lbT4fPlSfbqa6dUgjEDHDzxYQdrtuWoDZmZNdVPVcCMLIIgymiaRr6kMXuZQezpV23h7INDdCZKBNwmHnqrrRxELCaBu86qRVV1zLLAVSdU0hZTiKVUGjsL3DCrGhB47P0OdF3niPE+akMWPlocZ/nmDDedUs267TlsZpE+lRZ+cVyYR9/tYENjnj6VFi49qgKLtUhWFbi+VzXthSIrU1nqrRbe6IzRVVS4t18di5IZnKLICKcdkyBgFkVm7xYowCC9XVNfRU7TiSkqezktvN0Z4+r6SqosJtZncgywWxnrdvBggyGvrQEfdsUZ53JQYTbhkiXmx1P0s1r4sCvOJ93vYREFbuldQ7poyJe82hFB1Y26yIkVfmKKSlo1OrRai7saBJqLRZZXZJEOhsOCAlV5md/3qidXVLEUwRzRKZhUwtd7yVkT5K5rImjx0dGwK+j8OdHFrZdW4l+SJ/V9Hv8EJ65BVpK2GLJgQtmtc8kpuVG1HC5zb+ymSiyyH0GWMFW7KakFLqm6DptoxyV5+DD6OtWmesyClcP8x3OY/3jyWg6P5OO7zGpejTyDQokdha30sQ4ABPraBvUofn+d+JTrau+m0lzDqswSelv6M917OE+2/Y6CluPowMn8ue3B8vjWZVdxa/2D+ORAD1kRm+jALFgQEJjsOZCl6fksTX/LIb5jWZj6uvy6kCnMRPd0lmTm0zmkjUmPzUDOWDDLZraL2+nl6Ic8cV9kdDRdRkpmKHXt4ubshJpMUnnZr0jNn4ultg5rvwF0vfkqVZdcSWrRAlLzvyZ8wWVEXv0r2XWrsfbuS8W5F4EkIweCoOtIPj8119+KXixQ7Ggjv2EdKAr2UXujdLShJRNkViwjs3QRAOkF3+A55Ai8Bx+GL3IMiTmfIVptBGaegpbNoSuKYSKmqSDJxD/7iNQ3X+OcMAnnvvsh+wNoxSKSy03nyy8SmnUags2KfdTe2IePpEuSyK5djbm2joqzL0DyeH9y3vl3QND1v71BEAThzL93sK7rz/3LR/RfxNixY/WlS3uuztavX8+QIXuKhv0tfLM2yStfRokkFQJumVnT/Ewa/s/zLlTV4E6UFKPgfclFZzNx4iROOPlsumI58rksvWuDSKJAR6JE846NPPaF0Sc9cZiTU6cHmLs6xWcrElw3s5rrnmrk8H099KqwoAN1IRNuu8HX2NZWwCQLBD0yDqvIBwsT7DfMSSyl8uh77T3GNX6Ik6Bb5oNFcfp3B5ZMXjOk0Gut3PJcU7mjSwBuPb2Gh99pI5ZSuemUah54vZVCSSfslbnjzFp03fh8ggABt4m8miOm5FmU1AmbZDQELKLAvFiKRakMEz1ODg948ci72OUxReXmrU09xikJcF+/Oq7Z3GiMo08NL7R2sSNfYKzbwSnhIJquE1dVtuYKvN8VI66oTPG66Gc1Y5YktubyTPW6sYsiv9rc0OP8A+1WJridtBVLzPC7UTSdhKoyJ5LgrOoQ2/NF0qpK2Gzi2dYuGvIFHhxQz7WbG3FKItf3qkbEaFrYkS0QMpvwmyQWJJJ4zBt5qfNhdHT2ce6PlWN5p2tXh49DFLizr4dvYx/R3zGIQfYRrMouIaHEeC/6Svd3L3BexaXUWXrTUmpje34LI5xjcG0WwCpRqJN4tv0RmosN9LUM4rTwhai6QlbLkFdzlPQiVeY6SnoRAYGSXqSoF3FLHt6PvkpSTXCs/xSyWoY3ul4go6WY5J7BJPcMWgpNVFlqsItO5iU+5/3Yq0z3HEZMibAiswi35GVW6FxCpjAmwYyKwh+b7yGuRjEJZk6tOJ+V6cWk1RSnhM5HReWlzieZ5J5BTIkyN/EZJwXPxixa2FHYSi9LX1qLTbwbeZkb6u6jqBWwiU7WZJfhkBzMiX3E6eGLCAkV5D6bTfTNV8vfpWCxUHPNTXT+9XlCZ5yD5HajRKOINhuCy43S1ECpo43UN3N71B7kUAU1199K6puv0XUR9+TJ6KpKw3W/wDZ0BI69RtH10vOEL76CyOsvE77wcprvvrXnn1yW6XXPgxRamjBVhFGTSSSXGy2dJPKW4QXuPfgwzH37U9y2BXNVDVohj+z10f7U4+Q37BKFtA0dTuj8SzH7ug2iUim0YgEkqWwa9XNCEIRluq6P/anX/d2dxX9SMPi58c3aJE982FnWVepKKjzxYbdE+T8ZMERRQNA0BJNAPJ7gm3nzePDhp0CHXpUOwEm2oGK3iMi75fIlEWaM9vDughgThjgZVG8lllY4ZJyH/Ya6WLsjy7B6O3aLQFHRWbMtR3u8xNiBDpw2ibXbcozpb2dLc96QE/kBMnmV2qAZgM0tBdpiJdZtz3LkeB+fLUvsbj+MDsxfm2JEbztz16SQJaFsFdseV1i6McMBYzwAFBWNSKpEtihSFG2McoJDkpAEgZfauhjmtHFSZcCYYAUByWg3QtWNzqSBdisbs7tSM1O9bpySyMU1IQqazoZMlktqDT6HRRRoKxb5c7dB0kinjV/VV/G7hhaOCnoRMbqTai1m7tvRzCW1e3ZudxZLDHFYWZ3OsjCRZkuuQEZVubKukru3t9DSvaPwyhLX9aqis1gip2oETDIXVIfwyRKtxRK/3tpCqftL28fl4MSwm8dany+v1penv+GCqhmIgp958RQhs4kTKsy8GXmKDbmVDHQNIa9n2Zr/Hrfk5aqaO+gqtVNlrsUluXmj6wVWZIzV7Cfxtzmx9iwqpEo2pb4rp6GOCJzIix1/Ymt+I5PdB3KA93DSWpqo0smH0Tco6UVOrbgAt+jht003l8UAn+14jIsrr+HIwExqzPV8n1vHXQ1Xo6BQZ+7NxVXXklAN/aG8lsMhORERuajqal7rfI7tBWPyHWYfxTW1d5FUEyh6ia8Tn7EyY/AlIkoHIVMVp4UuRBZNdBXb2bd2Mh9F3+yR7jomcAp7u/bji/iHHOI7BrNgpZ91EHElwqyKc1mS+oZp3sNxTJ2Krqqk5s9F9gcInnIGeqlE8OTTKGzbQudLz3WT/A7BOWYcpqpqRJudzud2FeUBlM4OlK7OsiteYvaH1N50O4giuXWrcU+cTOCk0xBtdvSdhkW7k/Ew+CFKPIZeMAJybuMGnGPG0XzfXeXXtT/+MNXX32oQ6jJpqq+6gfjsj7ENGtIjWCiRCIK6awcquVxIuPa4bv+n8VOts3/hb9cmdF3X/8/IlL/yZXQPAb6iovPKl9F/OlgIgmAULlSd7zZsIRgM8cvLzmfFylUMHzmaW+56ALvdgdUsUhM00dUiccS+XvYZ7OCTJQm+/S7NvoNdqJqG1ynhd8o0dxUZ3stGJFnCbbfwx3fbyzWDT5cmOP+wEEs3ZigqGuMGOuhbZcVmFsgVd32mGaM9vLcghigYbHO7ReTAvT2IIvSptOzxOQJumc2tBUb3t9MeK7Gb6CvRlEIsVaKo6JhkAVXRQYVN2/LU15hZKhq2pqdXBsuFZJMARU0joejctLUJAfhNv1qu7Cbkbc4VGONyMNJpQ0dga67I+kyOwQ4rVlEko6rIgsgDDW3lSXp1OodLivPrvnWous7ceIq93Q5u29pMSdexiiLObmn1ndjP4yKtaIxxORCBaq+Z3lYzS5OZcqAAQ4ZkYSLNOJcdSRA4KeznpfYI51SH+Gt7pDwGgMWpDCeEfQTlEEk1Tp2lD27Jw2udj/DLmjuZ6g2yLruU17repaPUSo25nlpLH96O/JVpnkP5Q8tdfB5/H5fkQdQlLq+5sRwoduKj6BtcW/trvkwZ+e/elv60FZvZmt/I/p5DCJnC5QnfI/k4p/IK5iU+J6/myJHtQdDbxzmJiNKJV/YjCRKLU/NQMCasY4Kn8k7kZSa4pzIvOZsVmUVcVn0jWTXD5tyGcqAAWJddycbcOlySl0da7+kx3qjSRYWpmj+3Pchk9wF4ZR8FLd8jHQVG19Y54ctZkV6ERbQxJ/4RTslF2FyNjsYg+3BA4+nU05x92KV49j8AHR01HkMvFmh/8jHUWAxTuJLwBZcSeeNVom++inXocCpOPwc5GELp6iy/n2izoe8mGaNl0mRWrsA2eCi5dWtof/Ix7CNHYRs6DO+hR5DbsA735P1JdrPLATwzDia9aAHOcftSbGmm1NxIuljsEVDA8J9wjBlHoWEHgizjGDkaye8nMecztJSx43TtNxHJ7eE/HT9Vs/jgRx6rA34J/HtMof9NiCT/hkT533j8p7CzM8osaaxYsZzf/f4PDBy6N9dd80v+/MgD3HLrnQaBTjeY1O3xEve+0lqWAkllVTa35Dhqgg9BgEF1VtZuyzKqv4NMXutRXAb4cFGcoyf4+NMHHZw4JcC8NQmun1XN7OUJ0jmNQ8Z5qA2aufLYMNGUit8ls6Ehy4NvtFLhNXHeoSEOHONi9nLjAg64ZPYb5qJX2ExN0Mz1TzWW30sUYL+hTh56o40rjqvkq1UpfC4Zl03ELAtYdYH9/VYWZDahozPUVoNFkHGIZsyCxPK0UaTWgWu3NHFtXSWHdzvnmUQBiyDyWFN7WZKjoVCkMV/k8towXSWlxyQNsDaTQ8PorlqSTDPB4yy/5rX2CFfVV/F2Z4z2YpHxbiejXIa3+Ip0loP9HjyyRFuhVCb07Y5oSSGiaDzUuKtLpahpJJU9XxsrqRzjvxa3bCKaL+FHQBIyWHMCaVMnwxwDcckn4BRd+E1B8mqGrlIHs+PvcU3tr1mZXoxJMDHcvjc/tkZT9BKSIHNK6HyyWoZoqZMteUPBdJxrEg823YrWrWCVUGO8F3mFYwOnMjv+Pn2sA/hFza080fY7TIKJvV3jea3zWTbl1xM2VTMzdBafxd4jphgqtovT87BKNi6uuoavE5+xIrWQE0Nn8WbX83uMq6m4gxme4T0ek5DobR3AvY3XkdfzWEQrJV1BFMQe7bnG5yoiCyameQ/ly/jHDHeM5pvE52zNf89Uz8HIgglV1zjQdxRZIU/AG0LJZol/+B7munosvfqQjcXwHXEMnc8/Q6FbPyq3agWJfvMIn38prb//DVouh2A2EzrrfBJfzu4xBh0dU6iCHICuU2xsQLTaDC+Krk6c+07AOngohW1bsQ0chJbLEXnjFeyjxiB5PJQ6O7EOGLzHdyMHg8jhKhyj96b9T49QbG3GsdcYaq6+iY5nn8I+YiSuKTMQzeY9jv1Pw0+lod7ceVsQhL7AjcAU4D4Mt7z/Mwi4Zbp+JDAE3P91tqQoCtTU1lJZVcO4cfuiqDpnnjaT++//DX6XREkx5EFEEZZ8v6vLw2YxrFdrghY0DfYd7ODxD9o5dmKAW59t4pqTqvd4L10HDP8dHn6njV8eV4nLLnHCZD+ZvMYXK5KYhgn8/q02UjkNUYATpvg5ZJyXDxbGufeVVn53YT1De9lxOyQqfWZK3W5+67bn+MVxlXy4KI4oChwx3ovNLPLL4ytpiRapC5l59eso8bTCfkNdDK6z8UzHFyzPGaQon+Tgxuoj0dBxiDYG2Hp2d9zf2MaJFT4O8XtIKCqqAHvZbPzSGULUBRKSyv2RNhTAZ5L3IMv1sVroKpZIKgrn1VSQ13QCJplISWFDNs/jTe2cUOGn0mLi+0yedeks3yTSHF/hY2U6y4kVftZlcox22nm/M9ajJfYAv4fHmnfVfsa47ARNJqZ4XbzWsYv34ZYk3LLEjlyRJ7Y1dgcv+IXfT9/vIlhGeHg7/hcO8h7Fm10v0Fpq5uba+5nqOZjnOx5jf88hDLGPJFLswCbZaCpsZ4BtKJtyu9IV072HUdJLfJX4hBpzPZXmGia5ZzAn/iEFLVcOFDvRXGwgo6VYlVnCqswSBliHcEzgZHJalje6XmBT3nCoay+18EzbHzm38kraik1l6ZC5ic/YmF3LaOd43LKXgpZn7926rXZiqH0kBa3AaaEL+SrxCTbRzkG+o/gi/iF5PY9PDtDb0h+TaMYkmPb4XBPdM/BIXkRBYqRzLL9vvpOSbjRmrMos5eraO+kqtjMn8RGnVJxv/LfMZkSnk8QXn1F1xVVouRyminA5UOxE8tMP8UydRvV1txgdU7IJwWIms3xXfVOw2rAPGYZa3wv78L1AFDGFQiS++AzXxMlE3369W26jH9k1q4i88QpKIm5IlAeC6KUSviOO6ZYbqafYZKQIZX8Az7QD0DWdpttvNDqqwJAklySCp5xOfvNGhB9pK/9PxE/OhIIgDAZuBkZjeFhcpOv6f225/R+MWdP8PWoWYEhnzJr20xLlfw9VVVVU19Ty7ZJ17DduGHPmzGHIkKHkizqqpuOQBSwmkVtPq8Ysi4gimCSB+WtTHLC3h0RWxWISOP2AEHNWJMgWjW6m3mEz29t36QkdMs7DovXGij2VVbFbRUyywA1PNZLOa5x9cJCXv4yQ6uaAaDq8PjfKXWfW8sHCOCVFpzNRYmCtlQ0NOSIJhaG9bAyssRBNG+545x0aQhJhc2uRR9/vYPwQB4PrbNzzcmOZPPjZsgROm8heI3qXg0VMzbA0s439XUOwShJeWePwgIePIwk0oL/NwmSvm4SiIAsCzgJMz9rZ8ZcO8u0lfOMc3Ht8LTFdY206y3nVIZ5r7aKo61SZTRxX4efN9igz/G5ea49yUU2IG3tV80RLBzvyBeqsFqosZn7X0Eofm4V6666UW5XZRHu+xDi3k/c6o1zTq4qPIwlKus7RQS9uSeSSmjAfR+J0lRRODQe5elMDF9eGOSUcYHEyTdhkjCGnqjzb1lmeslUdnownuDPowJYzcXzgMjR0XJIPSZAxpwQGuYZxVsWlCILImswKJrr3R9VVXuz4M+dX/ZItuY00F3cw2DaCIfaR3LnjKooUGOkYS1/rIERB5LZeD1HQ8lgFG3l9l7PiYNsIWgtNjHSMpbXYxKb8ek6pOB8Bkbe6XuxxnWa0FDbRTi9rP4Byd1ZbqYWPY29xcug88lqOsLmao/yzmBP/EEmQOdB3JG7Ji0W00pTfwczQ2dhEQ/23wlTJrNC5jLDvjYbK8+2PkVBiXFp9PSszS9iS38BejnFUmWv5XfMd3FB3H+uzq8uBAowV/5fxT5gZOIuD/EeVdyWiLOM99EjSi76l7dHf4z3sKCSvD8njRU3Ey8eHz7+U/Mbvib37VnkSd+47wShwL/oW0WTGPXl/Ol97idzKZdj3Hkfg2Jk0330rotOFbfAQik2NxD58F+8hR+A96DBDhsTpRE2laHvs95SaGjGFqwhfeBmhcy5Az+dRM2ksdb3AbEWLRsqBYieya1bhnjgFa9/+SK5/vonmfwI/VbN4HdgbeBAj9aQC7p1yuLquR//20f+7sLMu8a/ohtodsiTw6CN/5Lzzz0JTSvTu04d7H/wzHYkSApDICAgCvLcgzsotWWQJjtnPx/Qxbh58vZVkTuO202v4dEmc/rU2wj4z6ZzGOYeE+G5HnvZ4kfFDXATdMltbCxw/ycf4IU5KJQ2LSWRILxtD620MqLHy6ZKeLaq6DrmiVmaKy5LAw2+3cfK0IHe+2Mz5h4XQdPhgYRxZEjhmog+vQ+ShN412VZMEbruMKAjUV5pJZlQiKYVlmzIcObSnsFlWKyIJIoqqYRdFjgh4OSTgRev2xbYKoEsyCUVFKsCau5rRcsbE0PlFEiRwHOchVlIZ73VyQ29jd5Xs9tWospjwyxJrMznWZPKsS+e4rDZMa6HIplyBB3a0klZVDgl4eaalk0MDHrZnCxwW9BJXVJ5u6eCEigCr01mm+9z0tprJaxp/aulE1w3DpYBJ4stYkryu8/vGNkY57Yz3OKkwybQWizgkifwPKPBJVUVwm9B0+HNzFzZB4CLX+ahNUQQxj8VtYnDNCOJKlJGOMWS1LGk1CYLA75vvYoh9JAG5gkWpuVSYqyhSYF/XFA7zHcfzHY+zJf89TsnNheFfcVn1DbzY8SfaS60Mt4/mhMDpKChYJTuT3QdgFi0IiOho1Jh70VTcXh6nSTBW/Zou8m3ySy6quppPo++QVBPs45rEcPto7m+6Cato50DvkVxTe5cxceuwPrcat+RlP+/+JJQ4v2u+HZNgpr9tMCWtyDDbaF7qerK8k7mj4VeMcUxgZvAcZsfe44UOg1SX0zK7vLp3g0NyoKEQkEMsSX3DWNd+OEU35kCQurvuJ/fdWgSrDSxWAudfRucff4teKGCqqgaTicyCeThG710OFulFC8h9v4Ha2+9Fz+dQc1lCp5wBJ58GuiH1UnvLr9EFAUGScM84CNc+E0gvXUR27SqcY/cFUaLpjhvLYyy1txL/9AMCJ52GViohV4QptjSRW7UC1+Rpe7DJLTW1yKEKRIcD4UccJ/8T8VOts9vZtePvTnSUoeu63vfnG9o/h39F6+zPhZKqkcpquGwihZJRn3DbDF0ogHXr1vPbj3oWmK+fVcXj73eQyKjceWYNVovIzc80cfkxYeavS3HIOC+tkSJ9Ko122k3NOUb0cbCpKU9nQmFkHzsBt8TcNSkWbchQ4ZU5ej8fz37axcZmo/PI55S48eRqFm3IEPJKdMQV3pwXY+ZUg8g3tN7Gw+/0bL+97bQaHnqrjWTW6Oa666wasgWdHe0FeleaQYeVW7PkB2zm88wqJtgHEBA87O/vj0mxgS4gYhih2a271irJrMKabTlWbEpx5hAf62/rKQdm8ksMvL2GP+cinFDh5/XOKEuS3UxeSeTG3tVsz+X5c0sXv6qvZFE8xcxwAA1YmcqSUlX2dTvZmstTbTHjNUlICJQ0nRfbIyxLZbCJImPdDiRggsfJs61dPbgWt/WpYX0m1yP9BIZGVbSkMNxp572uGA35XSvjwXYrl6gmxEo3d7W0c7PdTeq2j9GyxmtsI6sJnrEP6z2bqbP05vXIs+g6jHHuywsdf0ZDRUDg1NAFbM9v4pvUHG6tf5D3I6/1KIBLSPy69yNouoaGioyJdqWVR5rvKReu+1oHck74ShoLWwmawjzSci8JNYZFsDIzdBbfZ9fSqbRziO8YPoi8wTjXRGyiHbvopJe1LzElwtuRv5JQYuzrmkJvaz9e7HiCC6uu5o8td7OvczJFvcSC1G6FYMnHr2ru4Iv4+1Rb6mkvtrAwNZecluHmut+SUGIIgkhHqYX+1iHYRDu/a76diGIUpK2ijRtq76Oz1M7C1Ncc6T+R7YUt9LH2J2gKA6AW8miKwrpW+HpFjBP2tmBS8wh2J6ata+h69gmqrryG3LrVpBYvRPb6CJ58OqLLTW7dGkptrSQ+/4Sam+9C9noN570vP8c5YRL2kaMxBUM033NbuXgt+wPU3Hg72dUrMdfVo5eKZFavIrduDb7DjyL3/Qbck/en7bGHCF9wGdl1a5DdHjpfeg5UFcntoframzFVhP8jahX/qtbZ3v+yEf3/GTok0gpuuxldN+TKrWaRlkgRr1OmpGp7HLK9rUDYZyKRUXFYJb7bnuHak6pwWEX2H+ni61VJjpnk551vIswY46V32Mof32lna6tR+H5jXpRrZ1axZGOGbW0FtrUV+K4hx40nV3PnC80M7WXjrINDfLo0wfa2Anarg37VVkySQFNnkTED7CzdmNljXCu3ZDhxio+Ax4SIUZx/eU4XJ08PMntZgmRW5aC9PdQ4RzDZOowvFmfY0KkwbJKM16WzbGOasM9E30oLkqRg6RZsS2U1/vhOO06rwHnjg3u8r7XSTF7QWZzKcGplgIluJ4cGvKQVFY8s4RJFNucKDLBZMQsCBwe9XLulkaKmM9Rho8psjHdtJsfyVIZZ4SC/bWxlvMdJSTe+/9xuXuBDHTbkHxjKfBNPcWKFj/e7YuS6dxA2UWB/n5st2TytxRK/rKvkpbYIm3N5htisnBLwYlPhT9EY+9vsFF9bUQ4UALnVLWi5Er3CfUirKWJKhMbCdlyym6tqbyemRKkx1xEpdeGSO7CKNjRdY0t+Q4+xHeg7krgSY0V6IVXmOvrbBvNx9K1yoABDjiOidBA2VfNh9C2urr2TvJbDIlr5Kv4Ji9PfICCQUOKcX/VLmgsNeGQvJa1IVsuwLruSc8NXUtJLFPQ80VIn51X+gtc6/0JeyxFROhloHcY0z6EMsg8jraZozTchCgb576v4J/Sy9uOy6ut5t+tlLIKZClMVMSWCRbCi6Aobs+v4Vc3tbMl/T0ErMMQ+Aq0D3lRe4MTQGbwTeZmDfcewKbueoMcIFpLFimSBvlUqC75Lc/XLSXRg3IAcl00dDIJA68MP4NpvMsFZp2MKBNE1ozJl7dOPrr8+C0D8w3cInnJmWf5DiXRhqgwTe/uNHl1OSjRCsbGB3Pcb6Hz+6TJ5zj3tANILviH55WxKbS14DzkS0e0lMXwKWU1m4P17Q7GAaLMhuT3/a3YUO/FTaaheQFzX9UT3/WnAMcB24FFd3y25+P/wNyEI4HEaXtlmk4AkGat4HSiWDInyH6JvlZUPF8fZd7CDTF6lKmjhzXlR/C4Zj13imIk+2qJFDtzby0NvtnHuoaFyoADj2n5zXpRJw1zlzqlUViNX0LjrrFqsZpH7X2stM7zXbs9x8FgP00e76VtpYWtrgQrfniZJvSstxNMKDe0Fhve2E02pXHRkmHlrkgyusxHyyGxuKYBuZu6aNK2xEucfGiRf0rnqTw1locKh9TYuOaqCmKmIWxBZtyOLwyoyeZQLVYbKo7y0vRcHQHaK9DorSINNxSNJ3L+jlWu6+Q+CYHh//7W9i3FuF9O8MouSGRKqioRAncXEllyedZkcfWwWvLLEdJ+Px5vbaSoUWZJMc1zIz+r0rly/SxLpb7fSVOh5eXtlidmRJDf1rmFFypA6H+Ny8HUsgVOS2JYvsCSZ4ZKaCiyigBXQBYHHWjtZlsoyxu1Bi+5p61pKZnm243lOC13Ivq6pNBa2823ySxYkv8IrBbi85kYsooU6Sx9ODV2ASTDTy9KfNdllAAy0DaPCVMVvmnalRc6suJSctud75dQM69IrcMlO7mu8kZvq7yelJJniOYhJngMwCSayapY7d/zK8OrWcmioXFVzBybMlPQSXyY+ZpxjIk2FBj6MvV4+98bcd5wcOo9PYm/zXPvj+GQ/54Sv4NXOZ1ibXQFAW6mZtmIT51f+ipJeJKFESKkJBtqGg67zvZbgnsbr6WMZwDjXfhQ3a+SaSliHWJEEibZSM3bRgUrPbrR8Oo4lX+TUiXZOnOJDR8AsKJCJUXP9bURef4nC1s2Yq2swdftmi7KMopTKgSCzagWBE08p3y9s32rYvf4ItFIJTTGuj2JTI62PPETFORdiHzaS2DtvkFu/jsAJsyi0i1g7zVSPdWD2/rjp2P8W/FSB+zXgWCAhCMIo4HXgXmAUhurseT/n4P4vQNd1EHTcdhFFNTwnRGEXwS1b0DDLAvsMcrBkYwazLHDCZD92i8Avj6ukUDJY0jvaCxwx3seKzRl8LplM3ig6t0RKFEo6irpnOrGo6HsEIpdNoqjo5IpqOVDsxFerktx5Zi3JrMLa7SonTvWyeEO67IsxsMZKfYWFTc0F7BaRm581mNeSCNfMrGLxhjRPfZxiZF87e/WzM6y3jcP39bK9rcBXq1M9FG2/a8iRyqk4EVFsOn0rrdxwdjWzMwnuirVxyyGVVMxwo6Q1ZI/ER8UEm7qK3NG3BqW7zjE7mqCtqNBYKFJtMdHWFeeCmhAhs0xf2cIRAS+yKCALAs35IpFSiYP8HgRBYHPOCKCthRJOSeSOPjV8Gk3gkyUODnixCvDb/nUIwKvtUbbnC4xyObh9axPzk2nOqQoiIPDbHS1M8bkJazIDzR66RAWzKKACUVXDKUucWxkirbRR5XPgmjGQwpZdyr+CRcbU28c0y6Gk1SQBOcgx/pNZmJqLR/ZxXOA0LIKFZmU7IVMVLsldFg+MtXXRVNzBvq7JfB7v2eW+KDWX/T0H83zH4+XHnKKLgKmC17ue5zD/cXyb/Iq0msAluXm87be0F1u4p9ejfJB4HQUFRdulw7U8vZAj/TOJq1H6WwejoDDWNYFPY2+joOCSPIxxTOCb5OfMSxpy3bliprwj2R07CluJKV082Hw79Za+nBQ6m5c7n+TE4Fm8HTFUZNfmlrM2t5xLaq+jtm8vhqVHoes6oxzjiJQ6GO4YXT5fPhUl9u5bZD433lcOhqi+/hbMwQrw2FFSKcIXXY6uKAiyCUEUSC9bglYsITmdhC++HGuf/uiahmC1YKqqptTaguTxoaZSeA46jOyaVeUgIvn8WOp7EX37tfIY1FgU0WSi1NqMqaoaNR5DcnvZ9scshbYkWlyl+mgfoul/125id/xUsLDpur6zwfw04Bld1x8UDP/NlT/ryP6PQEWjqRTFIVrxSo5ur1wdm1kkV9TQgURWY69+dk6dESSWUoilFUyywGdLE8QzKuceGqKxU+S3r7WWz9un0sJVJ4QpKUWSWRWLSSxLje/EkeN9zF+3yxB+wlAHdqtIJq/hsO550TqtEhaTgN0scuqMINm8yrUzq8gVNUTBMHh6fnYXR4z3cccLuyQ6VA2e/riTS48KM36IC1kSaGjP07/awqfLkgyosZAt7MlLKJR0lm1MYjKJTBnh5g/tbWzIGfWU++MdHOL38Eykk1SbkSaqMpuIKSrr0ln2djtYns5SaTZzd79arN06U7quM9rlQNN1vo4neb8rgabrTPW5OSHkI6WqJBSV/jYLm3MFzq8JsTVXYKDdylFBLzlN45X2CGGzidEuOy+0dnFJbZiMqvFoUzsH+T1M8bnIqxouWeKuvrW4swINz3YRXZbBXm3GflEFW30qc9MphjvtDLNbuby2kmXpDLkhISrP2ZfSnE3IXhu+U/dmvbgOGQs2yY6ilxjtHI9PDhBVu3im/WGG2EdSaa5hdexDDgsch6IrOEQnF1ZejYqCKEjMjr3X47vdkFvDrNC5nFVxKYvS8/BJAQ70HUVzoYEzw5ewIbuaqZ6DcIhunmh7iMbCNkRESnqJeksfFqXm9jhfnaUPOS3Lg0230982mBnew8lqGe7s9bCRklK6cIpuclqGuYnZZLoDTUHLYxedPRz/TIIJrbsU2lDYyuexD6ix9KKoFwzPi912DcuyC1iVXYJH9mEXHRzgORIVFae8qxCuxGPlQAGgdHUSefNVwmedj5bL0fbIQ4Qv+SWZxQuw7zWGzueeIr/pexBF6u95kEJjIx3PPIEgyfiOOpaqX1xL7P23Kba1IpgkJJebmutuIbV4AZLThWPMOLRCoYc5kmi3o2uaUYzTdAInn0HrbJVCm7HQ6pidpOIAD2bv/91gsfuydDpwA4Cu65rw73AI/z+Akqai6jpJNUdSzeGT7LgEOyGPTCxtyICbZYGBvW2YZIPX4bSJqJpO/xorfausiILAx4vjPc67ra1AKqdR4TXRK2zmL592cuWxlSzckCaSVJgwxInFLHDWQSEaO4tYTCIum8i6HTm2txXYfy8X00e5mbNyVzCZub+fgqKhI7B8UwZNhzH97bTHjM8QSUCF14Sm6fywzBJJKjhsIr95tolCSWfiMBfD+9iJJEsksyrT9nLz4he7BOf8LsM1cK9+DhIZlRWbMgwL28rB4vtsnmEOG9f1rubLWJJqi4nRLge/2dFCjcXMQIeVYQ47p1UGsIki3ybSLEymqe1upV2XzhKQTWVy3pxYkj5WCzUWE25Z4sKaCp5q6cQhSlQ5zHwVS+KQJN7tipXHuCqd5YiAl4WJFNN8bq6pr8QuCqzO5PGZZO7f0cpUm4uR75aILzLqO7mGIhvvaqHivirmJ9LMT6SZ6HYyqzLAc61dhEwygwcHGD4kRL3DxGfax4y0jeXNrhfYmt/IDM/h5LQs3+5WJG5PtHB97T30svTj/qZbyGkZRCRODJ7JSIdx7BTPwbzW9ZfyMVXmWmTBxCD7CCrNtWzJf88DTbeQ0dJMdh/Afq5paGjcuuPyckpnjHMCCTXGaMe+LEsvYGs34W+wbQSDbMPIaVmuqbmTqBrh0ZZ7EQSRK6pv5s+tD5SlQQZYh3BV7Z280vE0491TsIsOTgqdzV/a/1huez3MfzxLU7u4GjsKWxjp2BtDFasnqs11fJddxfzUHEY5x7E8swgVheH20XgkH5IoUeho5YcoNTejFYqG3/XmjcQ+fA/voUegF3NGoAAsvXpTaNhO/IN3ANApEHnlRax9+iEHAphr68hv3ozkdiN7vdiGDEMwmZGcLpREDMnlRk0lEW02QmeeR2rxAnyHHknVL6+llDXR9tiu/6xsF//bng7/0/ipYDGn21uiFfABcwAEQagC8n/vwP8HA+IPYqpVMCMI0BYtYbOI+F0yXZJAJq9xy7NNDO9t57zDQlz/VCNXHlvJ8s0Z9hm0p7+u3SJikgQkSeBXx1dSKOo0dOQ5Yl8vqqZ3u/bpfLEiQX2FhW1tBYb2shHymDDLAsWizvGTfey/l8t4rt6GomooCtz7SkvZ2Cjolrn51GokUaCho8D4IU4yBY1Kn4m22K5OoXGDHSzakCnLi8xbm6JftYWjJvi4+68tTB3p4opjwsxdkyLsM3HwWA+6rjN/XZpsQcNqEpnRz80n8QSZ7hbD2dEEM7xupuGiqbmI2B/MgsiqdJaZFX7OrAxiEgU+jsT5MJJAxCDopRWV0W4Hmg5iK2Xew3eZHA2FAlO8bkImiV/UhtmSK9BcKDLG5ehBvgPYmivQz2amxmLm5fYoGnBE0Mtwh41btjYRUVSGuiwkV/ZsSVZzGlJaRxYM//AlqQzHVfi4ta+bhNKCRAqrGEaVFErpEnMTs8sTs0f2sTm9fo/f2yraeKrt9+S6fa41VN7oeo4BttFM8ZxCQWvmiuqbjBZbUxWjnPsgoFPU8vym6cYerOn5yS852HcMAEcHZrEx9x2DbSPYyzkOky6j6zrnhq+koBcQMDgXDfmtWCUbIPBCx+MU9AL7uaaxMPl1OVAAbMqvp63YxImhM3m67Q8k1DjX197NjXW/oaGwjT7W/ixLLWBecheDeoB1KA7RiVkwM8Q+slzfGGgbSi9LX96JGAZI32fXsSQ9n4bCVpySm+tr78EvBnH06k9MkmA3Br593DgkhwOlWABBIPnFx5RiUYLHn1h+jaV3PzI/8P0GyKxcjnvKNKLvvIHk9uDZ/wDUbjOkYmMDTXfdjLmqmqpfXYdotqBrGqWuTvxHHEN68QJ0UaSoTth1QgHqzwgie/53i178VLD4BTALeBboo+tlcZlKYM8Wnv+HPbBl42ZOPGlm+c/atK2BG266jZlnXEpBUQGVTF5l2+YsI/rYWbkly7a2AvecXctTn3TSr8qKpuscM9HH4+/vkmi+ZmYVL82JsHyzUcQc1c/O+YeF+POHHazYnMXvkjjjwBAHjPZQVHS+b8pz3ystmGSRYyf6qPCasFpF4q0KI/sairdWs8SHixM97Fy7koZoYENnkRmj3Dz8ThuXHFXBDSdX8eIXERraC+zVz85RE3y8+22sRxBZvjnLPoMcXH5sBU6ryKdLE/QOW6DbTdBiEhnRx86KzRmG9rLxfUOOQ31e3ohFEYBTg0FKWY1cUWf5pizj+ju4qbKKvK5hlkTMgkC2Ww8K4LpeldRbLGgYhDgR+GP/Oi7b3IgO9LNbWJHK8lk0wcwKP22FErVWM5GSQlrVMP8wsIsCGgI3b20s71C+jae4r38dB/o9bMsX8PjMOH5ThSkH8dfjpBZnQASfx8S1FVXEFJXmfBGblOHR1tuJq0bbbdhUzaXVN1Fn6c3HsbfL77m9sJkh9pHs6PbVBrAJdmTBRFuppzGOikpKzXPH1gK/7T+QxuJSZMHEtvxmPoy+iU/284uaW/bw4RYFkZyWYV7iC8a7pjLQOhyH5EBAoENpI6HG2ZL/noG2ofS1DiSlJqmy1FLQC90F8J0tyx4aC9v3uObbS60ETBW0l1oY75rKttwmQpYqPoq+wXD7aOqtfXGILjJaigG2oUz2HkBWSSMicmzgNE4InklJL9JQ2MqTbb8vj73O2oePYoaoRFpNsig1l0P9x6E77FRcdQ2xF55HTSRwTJyEe+p0BElCsFhwTZlG6us55JYvQph5EpY+fQ1P7s52bCNHk17Uk5FurutFsbMDS+++OPedQONNVxsM8W7tKUvvPuQ3byL67lv4jz3BIAMqRdqffAzbwMF4DzoUVbXi6Gcj11LCPdSGySvzvz0Z81OtszrwsiAI1+5Wu0DX9RWCINh+9tH9m7HimySzX4kSjyh4AzIHzvIzetJ/j5Q3dPAQVq1ciaKrFJQSg+r7cchhR+/xukRGKdcRNjblcVhEfE6ZTU05Jo9wMaBG4tbTapi/LsXgOitdiVI5UIDhp71ic7Y80UdTKo+828bvLurFltY8ny830k2KqvHSnAi3nFbNhu1Z+lVZmbsmxUeL4kwd6SKb33MNkC1oJNIqsbSKIAg0dJR4b0GcXhUWJg930bfKwrJNGRRV5+TpAaIphec+62JAjYXGzgJD6u0USxqz9g+wtS3P4+91sOT7DMdN9LNkY4bpo9zc83ILFx5ewYE+FwMcFgImE7IK6ZSKompcvH8QtV1BaSnh6W8BDZJWDUEQ8MgyFWaB3lYLBR2ea+3ku0yOXlYLF9RU8HC/Wl7sjFFvtfBiW4Qjgl4a8gXe64pzctiPVzYkzY8N+Xh6N4/vY4M+5sVTPbSoVOCzSIJjQl7CORM3bGukoOnYRIFfnRLGVdDwjHGwQyjhlCXWZXJUmmW+TX5eDhRgSGxszK6hj2kA/W2DyxIbq9JLuKT6OrJqlryWY3/vIWi6wbUYZh/FqsyulbBTcqNoZjQKdJRSfBJ7u3wegIjSSVSJsL/nYOYkPi4/vr/7IDbnNuCQnDzR9iCzKs7FLXtR9RJ5Lc+G3FqWpb5lbuIzrq+7l5c7n2Zb985nlGMfLqq6mj+0/JqNuXXM8B7Od7sVsEUkBliHgA539PoD67OraVNa6GsfxHTvYXwYfYO0muKy6huwiBY2ZNfyZOtDaGhcUX0Tiq5gwoRddLA2s4KslsYm2jnCP5NNue96dHjlNaODzWZzYx4yAvN1NyLoINkdyBZjepJdbgLHnIhrwiTyWzejlRQqr7iazLIlFHZswzlmLNmVy8h9ZzhDO8bui23gIBKff4pz3HjQdUyVVRS2baXU3kbrH39H6KzzCJ56FrqiIFqtKLk8eqGIZ/qByJVhJJcbCTB7zbj2lIv6X4ufap29GLgE6CsIwurdnnIB83/Ogf27seKbJO880UmpO40S71J45wmDGPTfDRiyICELEnO/+op+/foxdHBfmruKPfSN9h3k5I/vGmmQ4b1t/PnDDm45tYaGjgKSCL9/u52zDw7itIlEksoetqYAW1sLhL0mNjYZGUJFNdJdnYkSB+7tpj2msGZbFl2HjY15xg5yUFJ0NjTkSeU0FqzPcOHhFcxbkyqPzSQJjBvk4LNlCSaPcGE1CdQGzTzzSSfLN2W5flYVD73VVm7P/XJVitMPCHL8JC/77+VGVTXaoiVe+zpCPG1wMB64sJ5rnmzE55JZuD5N/2oLM0a5qK8ws35HHkUFh19jU1Oe8UOd1NhkOj6M0/5hd7pHgAFXVWIZZkaUBU6tDKBr/1975x0vRXX+4efMzPa+txcul947glJURBFsqGCLvcSSqDFqjCVGY6IxxSQmMYktGluwRywoiF2agPQmXNrt/W6vc35/zHKL1wQVlfLbh89+mHt2dubMzs68c97zvt8XYrrk4eqGdgHCTZEYv95RzZ29ShjjcvCHXTX4NJXD3U6WtYVwqyrP1DVzQWEOh3tc6BLu7WNjWSBEH5uFPjYr77YEPv81Y1MVNKHwz+qG9hKuUV3yt9YG7rquhAV1bcytaUQAN/csotCs8mZrQ7ftNMfrGVA1ihP7zaIhWcdn0Q2YFQttqRaOcB1FWA/xTusb9LL2ZUdsG2fkXoiCwobIaorMpZyScxlzao2ItqQEi9JdOVhKnSneGfSzDWFLdAOD7cPJ0fLYEFnNjvhWWtPN2BUj8GJd+FNWhBZTaC7hmpLbWNT2DqvDn7QbCuM4I7hULz8tvZuVwSXkaQWclXsxHwbexqrYON43k8ZkHX1sA/hL9a/bjdeClrnc2uM3DC0dDcDC1tf4KPBOl8nsiB5GFSr37b6Dywqv43jvqZyeex46OlacbIttZ5TjCFaHl6KgMME9pf2zqlBRvd3zcwA0nw/N58M+cHB7m2vSkTgPn0hs1w5yzjkf1WI1YtxVDcVux3/6mSAlwmSi8JobaHtnPomdO7CPGoOlZy9IpRBWK03PP0No8ccgBM6JE8kZ9L0v7MOhwN7cUM8A8zDCZW/u1B48lKQ+ABbMaW43FHtIJiQL5jTvs7HYw5w5czjnnHPQVEGR30RLyLhQPA6V9TujaKrg4uNz2V4bp741RTSh07/USiIl2VUX588v1XHFSfmk0pKeBRYWftr1Rjaij53n3m/CpAl0XSIElOSaaAunqG5KMrjMxmkTffzhxRoK/SZ+/3wtgXCK62cX0RRMUdmQYMVnYX5xYQmvLWnFrBmigdVNSX56VjF+l0q/kkKkhJ+fV8zyLSGsJqWbAu6bn7RyyznFKAJ0IbCaFS4/IZ/KxgR/faUOt13lwuNyCUSM499eG+O0iX5++XQ1bWGjLc+jcc2phbyxrJWTR3kwH+Gk9DAH4Q9CtLwTYOfjjfS9q4SkKik1m3FpCoG03m4o9tCQTJGQkv42KxcX5VFsMbMrFuMon4uP24KkYpLGZIpfbK/mRL+Ho3wupnhdbI3G2RGNM9nr4s2mtnZFWoeiMNXvJqrrBD83y9+SStOsp2lS0wyyW9kUiRHXJU/UNnN8zlSWdpLmFgjGuibS9GSIwn4OTs05h7RMk5JJ3KqXhmQtFsVKnqmAJcH3yTcVMdA+lFk553N67gWsCyV5uCpOVaY+s0MxMdN/Dg/U3NvutulvG4JZWHi16Xl2J7ZTYCrm+cZ/0d82hCmeE3ix6UnyTUW4VQ/vts5jfusrAGyNbWJLdAOXFlzLW5m2kY5xTPedhio02lLNvNn8EkXWMlTFRE9LH8rz+xFMB7ApNgq1UuqSNV1GOWnSvND4BN/LuwwhBNtim7sYigG2oVTGd+DV/FgUK081PMjNpfcQSMapS7pZEQzR19aDad4rOMYzC49mxqbYv/S193lUqzHycA4eupc1weTPwXvCKch4HMXpQjV15Ev4zzkX3+mzjQQ7ixmT89svVrS/2Jsbqg1oA875brqz/2ht+mJtxP/W/lVJJBLMnTuXX//616iKwGZRMZsUkNBSKxhSbqMs38zH60Ms3xLG51QxaYKWUIpARGdIuY2126Pc8+9q8r0a503N4eyj/byyuBWAk8d7KS+wcOl0w5hYTAKXTWXeslZeW2o8kS/eEGJ4Lxu/vqQHSsaQ1Lcmee79Zo4d5ebx+Y3YzAo7auOcNzWHRRtC/ObZGlpCaTQVfn1pD2qbk7z4YTO6hJlH+HDavjgUUFUEC1cG2iXSTzzcy7QxHu65pAdrd0QY09fBn142NKYmDHbxwdpgu6EAaGhLsWFnlElDXDzxfiNlBVYGl9mwzPTQc7qbuj/VUZ9I8tCuRq4tLaQiEiPPYibfpFGf7DhnFmHkWUT0NLuiMUotZpYGIjxf38JQp52LCvOoTsQ5yuviP02tfNAW5JbyYhqTSfLMZloSKe7pW8rKQBgdIwlPBbbH4xSbTV3qX5Rbzfg0lROdXiSgFBpuqxXBCBM9Ofy8xz8BCKTrsQid+LsqnjMVXmx6kqM901FQaE0149fyyDMV8nHgHd7NuI92x3ewLbqZH5f8nEdr/sz5BT9lnFulKZnmKK+ZqsQKEFFuL7uPNaHleE1+3KoHh+rik9BHSCQ1CSPcuTFZz3HeUyg29+CyguswSTMfBxZ2OX/1yRrMwsJox+EAjHAcxv3VvySqR/BpOVxU8EPmNPwTn5rDEPs4JA42hTxM8IBF0Uglk3yeNCma04183PYOVxb9hJcbn2JHfBt9rQM5yns8j9T8yXDB6SFk5p/LZGZFKMiitggftAb5Xr6fwzz5LA0EsSoRRjo1HIrEqn27XnHN7gB790ATs3vfhEYPJr6+/vYhhjdHo7Wxu2Hw5nwzX9G8efMYPXo0BQUF7W1qRppYCEG+18Sri1tZtyNC7yILl83Iw2oSWDQVt13j/GNz+df8xvYRiNWs0rNQcNs5xagKbKuJEYql+dvcunap9bsvLmX+iq6jjzXbo8STkv8samF4Lzvfm5LDu6sC+J0afYotTB3lZndDgkhC4nFqRBPG07PLrhJL6Nz3Qm37tv7ySh33XVFG/xJru94UwOzJfhQhyfdq3HFeMTaLyqKNIW5+ZDdpXTLjMENAsKImzuRhTkpyzSz/rLu0SDSeprIxzrBeDjbsivLMO0bobY88MzfdVMgyPcSOWIJPgiE2hmNcWZzL5SX5/H5XDTFdogq4tDgPswChqkzP9XHX9ioaMsbkw9YgsbROL5uFo3xuFrYEOC3Pz9ZIDKuiMqeuCV1KTsj1Mspp54PWIHdUVDIjx0t9IskVJfk8XdfE1kiMAXYrFxfnsTkYIy9tYs5bTZw0yUt5kZlZuV6KLU4eqGygMh5nhNPO+YW5yFEB8OisrlnOAPtQWpJNrAwvYapHp9zat5sUeGu6mbiMc3b+JQgCTPVZMCt2wukgqlKERKKgMMo5nlC6jfpkHTbF0X2CG4FE5YdFN2MPmmmtr8Vuc7bnRoAx8tEUExLJDN/p/L7y9vYqey2pJp5veIJjvSfj13JpSNawK76T4a5RWBQXLzU9yUk5Z+JRfV0ipY71nswnwUVUxLagSMGs3AuoSuxiS3Q9T9b9g9Nyz0VBwam6KbX0JCVTPFP/ML0sA7iy5Ciero3Sz2Hjpq0dAQcF5gg/71VEV9H7LN8GWWOR4biz/V3mLABMZsFxZ38zTw7//ve/OeecLx6gCQE+q+DyE/NIpSWKEGzcFSGWMOG0qSjCyOAe09/BWUf7SaXh/TUBhvS0Ud8cZXVFlGPHuHnrk7YuNTlCUUNK5PMVAMMxnQ/XBvlwbZD+JVauOa0ATYVrCgr42eOV7U/4Y/rZ+f6MfP7ySh0DS20s3Rjishl5DOhhJRo35iIWbQjwo9MLWLopTE1zgnEDnNjMghsf3M3t55WAUKhpSTJugJO2UIrXlrbxn0Ut9Cm28Ocf9uSzyijvrQ4waaiL91Z1zJWoChw53E0omiaRkry/piOpa3dDgjfXBhg0xniarIwnKbaY+MGWXfy5Xw9+37eMUFrHqSqowCv1rbzR0sYdvUraDcUelgfDzMj10pJK4VAUBjgsNCXT/GZnhwvl8ZpGSsuLWdQWojmVJiENvakHq+uZlefnypJ8Vgcj/G5nDQ3JFGUWM2cfncN9T9fwpx/05Gi/h59tq2x3ZS3JjFKO87dRrOYwwDaUp+sf4gj30czKPR+7cGIRVjyql3A6SJmlNzo6u+PbsQgL/2l4mnMKvk9doprqxG56WfthERa2RjdhtdnwaF5+X3VH+43+CPfRfBx4p/14JrqnAyYsukagqRalOcXs/ufyj9Y/tBuV470zqYht4V91D/CT0l+2G4o9VCZ20Mvalxcbn2zP0H6r9VkuKbgWXUpebnyaG0vv4qPAQlpTzUxyT8Wj+ng3NY/z868iRYpVIWOyfphjDH2sA/ggsAC/mssp/rPobxtCWA8xwD6UYnMpeSad4/1u5je3cYTbyVS/m7ie5rGaRrZEIhzmUtGU7O3s2yT77WbYMy/xTUdDAYTDYRYsWMCDDz74X9fRrBo5VmgKJLn7mWq+d0yOUWlPM3IpBpbZiCV00mlYtilAvxIrQ8ttVDYkGN7HgUkV/Keltcs2F20IcvokX5dkuCMGO9lS2eHX31IVIxBO47IpvPhhcxdX0KptEU6b6GfKCBdpXXL8WC9bKmOs2BJhcE8b1U0JJg9zk0hJlm0M0bfESlGOiZsf2c0d55cwf2Ub7602bvI2s+DOC0oJRNN8sCbE0k0h+pVYefa9ZupaU8STkp+cWcTbK9tQFMG0MUYJ2J11ca45tbBbwaPttQlmqF6GO+wc7nZQbrUw2uWgMaWTryp40gqKDm2KTnXSkINXMAoSdVZGyTdrtCVT9LZZuK1XMW5VY2FzkM/zYWuQAXYrTckUEz1OKiIxrijOx6EqPFBZx7Zox810VzwBXqOIVW1zAm+R1q0K36fBCOcX9kbKIGfkXYi72UN/2xAswopTdSKEwlm5l6AqGrvj2zELM72t/UnIBOfkX8a85pfaE/cEgvPyr2CwfQQmxURcj9Hb2p9tsc0saJnLhQU/pJ9tMLvjO+hhHoZDKcYkdJZHFvGRdSElvcs40T2bm5x3szW2kSJTCYWmUhpSdejoRPVoe6jrHvpaB6Ji6iblMbfpWc7Ou5TXW55nW3QLLsVNsa0HbzS/SEVsC7f0uJeUTAKCtEwzt3lOl88f5TmeofZRrIus4umGjuvlCNfRHOE6i8PcPuoSKV5raqXQbOLW8hJCqSSKOHgzow8WssaiE6Mmub+xyezOOBwOmpqa9r4ihgRGdVMSv0vDZlaMaKXdMZ57v4lIXGfKCDdDyu3c93wNH5RY+f4JebQG05g0OHGcpz0SCiAS0xlQauUnZxaxYWeUwWVWFMWolteZtC6pqE1Q19Lx1N2r0MKl0/NYtyOC06YybayH+56vaS+4pKlw05nFrK4IM2Gwix+dVkAiLZE6mDUwm5R2QwGQTEuWbw5x1lE5aKpCjzwzEsnZU3L488t1zPukjZQuOfFwL6u3RXh0Xj11rUZ/1u2IMKTcxrodHUbusAF21u2IcFl5LikhSUso0DS0tGDjtii5+SZWJMJsT8YZ7LAzI8fLsrYQZ+bnMKeuCQmYhOD8wlwEMLexlXFuBykpKbd2l40ut5qxCIVj/B6eqm1kdr6fX26v5swCfxfNqz3o0hgh+t0mzIpAhS7Sd8UWE5G0RBFORLqJ43yn8GDt76lJVOJUXFxZ+BM8Jh/37r6FSCYRz6flcGPJXUhklwxvieS15ue5tvg2QPBw7R85L/8K/t3wCFWJXbzQ+ARXFN5ImXk0OgKnUFgd+ZB/Nz4CwET3MTxW/xcq4zspNJfQlmpBEyauK7mdnpbezG95hcuLbuCp+r/TkKyj3NKXmTlXEkm7KDGXUZXY1d6XhIyTa8rnMOdEFgXfYUt0fZfvZVtsM5uj6xjvnMwwx2g+DS9liH0kNsXO5sg6pnhmENbD3YzIkuD7zPSfyyfBGA9Xd0SWLW0LcXuvkqyx+A7IfsMHGHuE/zRVMOfdRtI6/OO1epqDaWIJybxP2qhtTjCsl41tNTF0KXnw9XoemFuP3apyzcwCfC6VsnwzZxzp56E3GqiojnHMSDeKIshxa5wwztu+v6HlNqqbkizfEuTI4YbejhBwyfQ8fvd8DXPea+bj9UEqauJdKvOl0vDGslbsFpX1OyO0hNPc+s9KNu2Ocs7ROTS2dUxw+l0qPz+vlERa8ui8BvoVWxnbz8Fri1vZUhnjjgtKuO17xZxyhI+lG0O8sayVviVWzpuaw7Gj3dS2JDnraD85bg2LSTBtrIfDBjh58u0mWoNp1m2OokZ1Fi4JEItJEgo8HWjilZZW1oSizKlrYkkgiKoIwuk09/Ur465eJfyxXxkFJhM7o3GO97spsZhZGYzQz26lf6fSr2fn+xnjdlJoNeNRFXJMGovaQlzXo4DWZJqTcju+T4BCswlzUuHY0W6sVsNQnFeY236xORSF7xfn82xdE3/YVYtF8fNU/T/aJ6BDepCPAgv5sO3tdkMBxlzB8tAiNNFdvTScDqEKFU1ojHNN4rXm5/le3vf5WY/fcWXhjcRljPurb+DNlkdIigCLA++1f7bIXEJFbAsJGWdXvIK2dAtNqXp0qXNJwbVMcE/Bo/TgBO/NXFt0P2McP+TPu2M8XN3IVO9ZACgoDLWP5vz8K1kXXkkvaz+cSvdCRmZhZlt0Ew/V/gEhBRfm/4C6RC3RdIQZvtOxCAsWxdKeQ7EHiSQuzbzR1NqlvT6Zoi6RJKlnc4S/bbIjiwMMkwrHjnITT0p8LhPrd3aXmV5TEeHIYW7OPCqH3Q1JLjgul0hc508v1fDrS8u44NhcEkmJ06YwbqADv0vjxgd3tbtxLj4+l+tnFeB1aHicGp9VxfDYNfqXWpl9pJ+ddXEqamLtLimzphCLd78Yo3GdPI9GIqXz0BsNhGM6j89v4L4retIWTmOzKETjOucek8vj8xvaJdRXbo1w8uFebBaFFz5sIRRL07fYyoOv1XPZiXkcPsjFp1vDLNoQolehheljvSxY0cpF03KxmBRWfmbMj1w2I5dwTOewgQ4EcMxIN4GITlG+ic01XdVoPmgN8rPyEla3Rti5O84HKwJMOsbFcK+dqX4PKSl5tKaBlcEISV3n0uI8BGAWgi3RGD/astOIcAKuKS1AEUak1XE5buriSX7as4glbSGKzSYmeFxEozqjRtpJaxKLEBzmtjPW3ZNwWseqCN5sbGVlyDi3SQnbY5916a9ZsRBOd3eHRfQwKZmk1FzepdLdBPcUTMLC7yt/znTfqczMOZvXmp+nNdXMWNdEBttGMMA2hBP8s9Ew4dV8kPGchdJB/FoezakGLMLCONeR9LT0RhUazYkGelsH0JKU/HF31yCEmCrpax3CGTkX0s8+iA2R1SwNfsBwxxjqE7Uc7Z3O+sgq4tI4F2WW3lgVG02pBhQU4sR4pWEOp+aew/LgIhYH32Oy5zgi6RAT3cfwXtub7fvqaemDAli+YARhEt01pbJ882SNxQGGz2Vi1mQfiRRsqYoybmD3RKPhve24HSp3PFHZLug3tr+D7x2TS21LkkRKUpxrprY5weShLn72eGUXf/9rS1r5+fklPPJGA2sqIpTkmfnByfm8/FEToDBlhJuWUIdLqrYlSaHfhMumtNfwBpg2xoPbodIUkFQ3GqOOcEzyq6er+NFphfzkjCJe/riZfJ+pS60NgAUr2/jx6UVAC0cMdvH3uXUEozoKsPDTNj5eb0TmVNQYhZuun1VIIJwCISjJM9PYlqK8wILPpbJ8c4ThfeyYVYHXodKcSnWb47ApCm5UWj5NMXdNC26HykUuKzXJJOtCUYY5bQx32vk0GOFwj4vbK3ZzX7+eNCSTPFbT2L4tHXikpoHf9OlBJK3zUFUDq0IRCswaN/cs4tm6ZrZEYpyQ62VuYyttqRRTfcaoJZLWeaq2kdpOk+wC42bX2zaAz6Ib2tu3RjdyYcEPWRx8r33SWUNjmGM0aZnmqqKfsLD1dXbHtzPSOY5RzsN5sOb3NKcaKLKUcn/Vr9rrcVc17ULLNfIw4jLG2sgKpvlmsim6jpgeZXXoE64uvploOoJb87KgZS5vt77KZ9GNnOCfxcrgYkY4p+JSlS65JeM8FnbE1jDSOY5/1P6uXfpjeWgRp/jPpjFVx7UlP6MuUYVH8yOl3i6ZXmQuZXd8JzNzz+GB6nvbI7EWB9/jhpJfMMIxFr+Wy6boWkrMZRztnYGNNGcX5vDrHdXt52OA3YrfpKEdZIWEDkay3/ABiM9lwmKGE8f5EEJw1HBn+3vlBWbG9nfw3PtNXZRfl28JU+Q347GrzF/Rxs8fryQUl8STklC066hg6igP/3yzgdUVESRQ2ZDgnn9XM3W0l8UbQ/z9tTr6Fltx2Tt+Hk8vbOKui0qZOsrNmH52fnpWES67MeKobU4ypn9HglRlY5JFG0JYzYKjhrtwfoEcutWstFcINGuCWCYKTVMVFm8IdVm3oiZOaziN3aryiyer2LQrysAeNp5Y0EgqDRt2RfjlU1UEojoWzTAMUz1d555O9/l58e1m3l9t1NU4b1oOH7QF+XlFFc/VN3N7RRWtqTQz/B6C6bRRc0RKFATRz7k4wmkdHbCoCucV5nBP71J+UFIAEpYFwpya7+e3O2tYHYqwI5bg0ZpGKmJxKuNxzi3K7XLRnZLrRY0Jzsu7nFJzTwDcqocTcmbjVF1cX/ILRjnGM9Y5gWtKbmNzeB21ySqSMkGpuZzz868kno5x244fsCO+FZ+WS2Oyrt1Q7GFJ4D10ofN6yws80/gwrzTN4eriW7i88AZO9J/BgzX38VlsI881PMYHgQXUJqtZGvqAh2v/iNvkZX34I24rz2O400q+SWNGjp0JnjgVsQ3EZbybRtT7bW8x3DEWiY4udXxqDtWJSgLpVsAYIZWay6iIbekSsiuRvNP6Okk9xYbIavpYBzDGOYG2RDMvND1JmVnh933LOCvfz7WlBVxTWoBXO7gF+g4W9vvIQghxA/B7IE9K2ZiRPr8fOAGIABdJKVfuzz7uD7wOE8N6QywBsybnMGtyDqm0xGoWBMLpLlFLHUjWbo+wrTrOzAk+SnLMxJM6I3vbWVXR4c4aVGbl+Q+6TriHojq5bpU//7AnjW1JdF1yz8WlLFwVIBzTmTDYxRtLW+lbbMFitvHvd5voU2Th9Ek+Dh/o4IhBTjwOlQ/WhCjNNTO8tx27RWFgDytCCCYPdfHhug63yhmT/RT6TO0quVNGupi/IkAsoeO0qe3Z3WCE0abTkgUr25g81MnbnwY5drSHtJRsroxy7tRcnn2vidqWJA6rhRybyqlWH0f6XFTE4vS1WzEnBR81BbFZFMYOcDCgt41/bK3v8h283tjKLeXFaEJkhAgFrakUfWyWLtFOA+1WKmNxPJrG36vqqYwnKDKbuKZHAff0LmV3Ikn8c7XtF7eFuLa0gE+CYe7qXUp1PEG51UI4nSb8YYhkveCKc24koLcSTgd5t+1N/pN4hhtK7mRmzjnUJqpJyiQDHcP5S/XdHO89lc+iG/CqPvrbh3KaYuL1pueJ6hE8avcsYq/mJyWTrAwtAWBzdB1NtfVM8ZzAitBi6pLV9LL245Wmf3f5XGViB34tlwKTCVU0M8a9CZeaS0XsU15q3MJVxTcR0UPd9qcJDU2YiOoR6pI1lFv7McIxhp7W3lTGd9DXNgiTMGMW3YMJFKHRw9qTM7WLaE43YhEWnmz+Byf6zwARpcTq4zTr/59kuAOF/WoshBA9gGnArk7NM4B+mdd44O+Z///f4babcNshFE2jKmCzGE9Q4ajO5GEuXvqoI+HJ51TxOjSefqeaqaPcOKwKNzy4C7dd5cYzCsnzaqzfGaVvsRW/S2uXLd9Dkd9EMg2/eHx3+0jkqOEuJgx28uG6IH94sYZ4QjJ5mIvfPVfDMaM8jOpjZ3tdghVbwhT6TJx8uI+TxntJpY3RwksfNzNpqJuVn4U4fJCDsf0d1LUmGdHbjqoY7q1owpj3OPkIH+MGONhel+DC43LbdbIAThjnZcVnYbZUxjl8oJFF29iWZOooDx+uDWG3qFxwXC51LUkUBTAJvKjYEoJyr4WkkITVND+aXYAqBZggjewSQnuM08U0q4uCqEZI1bmprIj5za1M83v4fnE+/2loYWs0xkC7lbMKcpBS8uudNdRkMrhrEkn+uKuWq0ry6WnpuAHucYf5NY3lwTBP1TahCcgzmcjVNCb7XOQc7UQGa0gmTOxIbeP5xsfbP/9u6zzsqpOQHuSzyAZ2JrYBxpP5BQVXsSz4ERsDa+hrHcTPe/6J5mQDXpOPEfZxrI4sA8AqbJyWYyS8mYWZPFMhZ+RdRGuqGafipsTSg5ZUIxKJU3UTTHdIrmvChFN1syq0jK2xjZzon82y4EeMdh7GeNcEPmibzxjnBAbahrEpurbjnPlnsSWynoWtr3FZ0Y9pTtUT1aP0sQ7Ao/hQhco/an7PFcXX41X97SKLGhqTPVP5d8OjzMo5n1WBZUzxzGCa9xRcihu72j2LOst3g5DyC+L+vqudC/EC8EvgFWBsZmTxIPCelPLfmXU2A0dLKbtXOOnE2LFj5fLly7u0bdy4kUGDBn07nf8K/PGPf+SRRx5BCMGwYcN47LHHsFo7om2+aj/DMWNksXZ7hI/XhSjwacw60o9ZFeysT+BxqNzxRBXJlERVjNyKCYONTOk9E9/BqM7dzxhaTCZNcOs5xcxd3MKnW7tOqP/msh6s2x4hmtCZNNTFix81s2RDmHsuKWH9zhiPz+9Qae2RZ+ba0wrQVMGdT1QaNTrOLeGOJ6oA+Nm5xazaFub91UGCUZ0eeWZ+PKuQxrYkbyxrw2FVOH2SH7MGyTSs3R6hJNfMrroETy5sZNZkH32KLLzwQQvXnFpAVWOCB19v4NypObSF0hT4NPqWWI2cCk3gtXc8C1XHE9zw2S4eGNCTF+tbKLeaWROK8kkwzJkuH2M+U2l4qgk9JnENsVHygzxa7TrBVIp8ixkFY7QR09PYVJVgKs2tFZV8nnv6lOJUVDaGIwzRzNiTaSSQNqvcXlNHXaJrUuCvepfiVhUWB19nfutzXFV0E03JBhYF38Wn+ZnmNRSK/1B1J3qmKoCGxq1lv2Vhy2t8HOxIthtoG8YUzwz+0/QMZ+ZdjF1xEEi3km8qYk3oEwY7RpKQCZyqi3RGyXZdeCW55gLMwkIw1YYiFB6tu799nmRWzgX0svZlTXg581vnYlPsnOY/lyJLqRGhpMfQhIZDcVGTrGR3fDsD7cPYFdtOH9sAAJ6pf5i6jLy6TXFwdfEtrAot4yjP8QRTbbg0N8uDHxPRwwx3juXd1nmsCC3mrp73o6AiECgoOFRXNvHuW0AIsUJKOXZv6+23b14IMROoklKu/pzOewmwu9PflZm2bsZCCHE5cDlAWVnZPvep8aMAlXOaSTSlMOdolJ7tJ3cf8y6qqqr485//zIYNG7DZbJx55pnMmTOHiy666Gtv02FVcVhVTBqM6munOZjm/hdraQikOG60m2NGekimJC6bwg2zi1i1LcK8T9oY3ttOr0ILmibQFPjlRaW0hlI4rSr1bUnqW7vr+VQ2JPisKk40obN2e5QfnJLPzCN8SAlvLe9a9Gd3Q4JEUvLk24385Mxi1u2IkMw8vpflG5PSry1p67L+4g0hdtTFWbXNMFLLt4T5/eVlhKIpPA6VB1+rpzGQ4vCBToaW2/n3O41cMj0PYYLt9gRXn19ArlnjjkcqCUZ1Jgx2cvaUHMy6JJ5OY1GN0ZhdUbikKI95DS2clOvl3h01XFWazyCHlXEJGxWPdNz4g+ujNM1txXaGh9/vriOqS07L89GSTFFgNuFQFbyaRp5J65IR7sv4zoWAPrpC4pW1tL61ESS4jx3AD08YyM8bOoyrR1OxqwoSQZHpaMa7mvh7zW+Z4p7B5QXXo0mNeDxB0hLnptK7WdA6FxWNab5TMAsLi4Pvdfn+N0XXcqJ/NjXJSu6v/iWjHOOZ7DmO9wNvcaR7GjE9yvbYZ7zc9BTJTETV5YU/5rWWF1gW/BCAI93HcXvZ72lI1pFnKqA+UUtNopLJnuNYHlpEc6qRvvaBvNI0h9XhT/BpOfS29Oc438mUmnuyIrSIT+o+pi3dwi2l97I9/lm7oQCI6mEWBd5FohPXo9xf80tu6/FbKmJbkEjer5pPXMawChsKKpsj6xniGIlb83zp6yPLt8O3aiyEEG9jFEr6PLcBt2K4oL42UsqHgIfAGFnsy7YaPwqw46EG9MxEa6IxxY6MRPm+GoxUKkU0GsVkMhGJRCguLt6n7e1h2eYwvQos3PVUx8X48setFOeYOWq4UWfipY9bWJOZr1i7PcrEIU7OOjoHTROs3xnj1cUtXHaCIUt+2AAnVZ3KilpMgjyviaWbQkhgyggXgXCadFridWl8UQCKSROEo2l+8UQVQ8ptjBvgxGE1KgLWNHc3Rrvq4+S4On6G8aTk061hxg5wIqXkjvNLCMd0dtXHqWxIMLa/k8fnN3D1zAKOcDqJx3VMUnDX90sxmwTWGEQ3x0irAtnHAj7jBu41aUzyOAnpdszAz3sVszueYKTTgbIu0a1foQ0x/Ekv0UzG3euNrVxfVohf03i5oYWmZIrvl+TzdE0jJRYzPpPKJK+LymicvnYb6q4Wwq93JKQF3tpIwZBC+uYYtb9NQvCD4nxUAZF0mhKLgzLrOWyJrmZleAn97IPoaemDAO6v+iV9bQM5NedcJJJAug2n6maofRRrIyvbRwGGuEkHq8LLONo7nXda32BntILzCq7oUnq1MrGDmIy1GwqADwILWBf+lOtL72Rhy2u8H5iPJkyc4J/FdcW3E06HEAisip0L8q/CptjZHd9BTI9iNzlZGzb6M8A2lKZUPZF09/mMcDpIvrmQ1nQzMT3KtugmRjgP46n6B5FIBILZuReQ1lPMaXyEuxx/6f5Dy/Kd860aCynlsV/ULoQYBvQC9owqSoGVQohxQBXQo9PqpZm2b5XKOc3thmIPekJSOad5n4xFSUkJN954I2VlZdhsNqZNm8a0aftkI9sZ28/Bh2u7X4yLN4a4dHoewYjOY281dnlv0YYQ08d6UFVBOJrktEk+PloXZGQfO16nRjotWbIxRI7bEC/UpeTkI7z0LrIAgn++1cgJ47zsbIhz+iQ/f/lPx9xC32ILNrPCj2cV0dCWQlPBaRPceX4JL37YzIjeNl5Z1NKlP+MGOnltSWuXNr9bY9PuCMN62qlsSlLbnCCVhoWrAlhNRl3xNRVRHnurAV0asho3zC7EZBV4LQrVjzWSbE1jztMYcFcJtdY0Hk3FbzJh63RD9Zo0EmkdenSfZHUNtiKsgsEOGxvCURJS8pudNVxXms8wp42Hqhuoiye4sjTfyK+wmHGpKkNcdpoTKRyrq7ttM7ZyNzdcegQtqRRmIbApCk/UNrI0YOQvlFnMXFX6M4LpevJM5aR1SY2yndm5V9PXVkZdcjc7otsos/bi9eYX6GcbzHG+U3is7i80pxo50nNce0lSAJfqJq5HmeKZztGeGdQmu19GSdndUEb0MLWJalRF46KCa/BoHlaFltOWbmFTZB2bo+voZe1HmaU3f6m+h7Z0C2+0vMhpOd/jFP/ZxPQIY10T+VvNb7ms8EeYWl4iKTseFMa7juSVpjkc5pyEQPB4/QNcmn8td5b9kfpkLfmmQmLpGEtDH3KYcxJWJSsTeCCwX0JnpZRrpZT5UspyKWU5hqtptJSyFpgLXCAMDgfa9jZf8U2Q+C9S5P+t/cvS0tLCK6+8wvbt26muriYcDvPUU0/t0zb34LAo9CnuXvCmvMDCjpo4dquC+rkzbDEJ4knJH1+sZWgvBwU+E9PGePC7NPI8GtPGuLn93GImDHbyt1fr+Ot/6qhvSVLgNfHIvHpKck1s2h3lhQ9bUBX41UWlnHS4lytOzOeKE/NpC6e4+5lqfvFkFb99tobtNQkqauOcfUwODovCTWcWUpJjwu9SOetoP70LLdQ0d9yweuSZsZoVCrxmIgmdHJfhcnv0zQZ21MbZtDtGWpc8Pr+hXWYjGtd5fH4jdfVJwmmJZ5qROZxoSFG7PMSTtU38vKKKhkTXkY0qBDZNxeRS6Xl5HorVcIe6htjImelldyrJuQU5TPG5KbGYmOJ1UWy1MNxp55x8PzZV5ZZtlbzS2Mrfq+r50+5aYrrEZ9JgSPcBtTKshI9ag1gVBQHUJpLthgIMTallbSqV0VL+XtnG6jAUm4fxXJ2XuJ5gRXAJPpOfB2ru5cPAAl5sepJnGh7myqKbuKboLsY6J/F2y2vGvlA5Lec8ctR8JrqnUhHbQr6piM+nr6Vkih6WXl3aJrinsCb8CW+3voZX87E48AF21c77bfN5veUFtsY2saD1Vf7d8Agn55zZ/rk3ml9ilHMcAkFbqoUrC2/ErXr5cckdjHaMZ7B9BJcXXs+ueAUgUdE43jcTgeDR+j/zh8pf4E/m4Y76CelBdKlzSs7ZWLLG4oDgQJwtegMjbHYrRujsxd/FTs05GokvkCg376NE+dtvv02vXr3Iy8sD4PTTT2fRokWcd955+7RdAKddo7xQcvggB0s2Zp5O881MGeHmx//YyVlH+7loWi7PfdBMMGJMjp5yhI9FG0I0tBl1MpZvCdEz30y/EismTbClMsbuhkSXSKu61hQuu8qovg6cNoXjRnsY1deOoggicZ1oPI3DqlDdlOTVJS3t7qZgVOePL9Xy60t7ICREExKfS+Oms4qQElZ+Fua595u499IerNwawWFVyHFp/P3Veor8Js4/NofttQmWb+maOZzW4XN1h6huTOB3a6zdFuHIyXba3gqSbEtDWxqbImhMpnipoZlz83Nxmrq6azS7St5kF75RDtJpSR1Jaq1pik0mPgmEMAnB8X4vDYkEKV3yQFUtV5UW8NtdXTW2tkbjNCdTuFQV/4B85DH9ibxrZGY7j+6LHFlMH3QWt4UY6bRTEeuaqAiwPZagp9XClmiMLdEY5xfmkmcyIYRCubUP77TO67J+TaKStEzhVguRIsJPe9xNfaKGHtZefBbZAArcX/Urguk2bim9l0sLfsScxn8STgcZbB+BV/VzScE1LAm8T2ViJ4PtI/BruTxS+yfAkPFYHV7GlUU3Mq/5pS773hbbzMycDiXlpEwQ1aMMdozEp+agCIX6ZC0bw2uZ4p2BQ3ET1NuY4J7CBPcUkjLJBNcxHOaaREyP4lV81P81TtTWQs8L+9LPPxBN6S5tkmX/cEAYi8zoYs+yBH74Xfeh9Gx/lzkLAMUsKN1HifKysjKWLFlCJBLBZrOxcOFCxo7da+DBl8ZqUjj76BzOODKHUDRNayjNzvo4d19USiJl1Lm45exionGdtG7MEbyzKoDfpRJN6Awss1Hg1dhRF6NHvhWzJrCYuj59OqwKo/o6KMs3IwTc9VQ1dS2GQehZYObKk/JpCaWxaKJb1bxYwhDUm/NeIyeM8/Hc+82M7GOnZ4GFob3s2K2Ciuo4H60LEkvoVDcZ2/U6VdbvjLGzLk6Ou+vPNJmSeJ0qraGOXIxRfe1sqYxRmmdGs8GAOz1svrMV3wQXG1oN90ttPElc6jjpnsSlmBTMPoW0lLhTgg9bg1THE5ye58OrJXi/NUCB2YSmCM4vziOY1tE/F0nY22rBqaosawtxfI4H/YwR9Jg1kriuU2kSrAgEeb3JmOB/o7GV23p1n7sa4bTzSbDDOH7QGuAYn5sNoQT55i+uwpaSST4OPMtHwYWoqDhUJ32tg5iVez7LQx+3h8J+HHiHie5j+GnprwCBLnU2R9bR1z6QHpbeDHOMZm7zs2zplEkuEORo+ST0BBbFRrSTVtXn50jGuSazJrycN1te5tri23iy7h+MdIxjqu9EXm58muVhoz6HWVi4vuROXIqLBHFiqWZSiUp2Rypw559Oy8cRSqJ+NHvWUBxIZDO4M+ROclN+eR7mXA0EmHM1yi/P2+fJ7fHjxzN79mxGjx7NsGHD0HWdyy+//BvqtSE4uLshgcUkWLCijT+9XItZEyzaEOL2f1Xy+PxGbv1nJdtr42zeHeGphU34nCpXnVxAczCJWRMkUqCpKss2hehbbGX8QGNS2tg+/OTMIt5fE+BfCxpZsDLQbigAdtYl2F2fYHtNnN0NCQaVWTl8kJMLj8vlpMO9lOebiMTTFPrMLFzZxumT/CzeEOLOJ6q459/V+Jwm+pVaaAqk2g0FwNSRblZsCbN0U4jJQ134XB03pkUbAtx6TjH9S63YLArjBzo4daKfjbui5Lo1FnwaJazGGXR3HhvUeHsG9ji3E/teZCFUIfCbNGbm+biiJJ9wWqciGueS4jwCqTS3bavkjooq1gTDzMwzbt4uVeHW8mKO9btZEggywm1ncyTKjVW1bLcK1pvTqCaVeU0dkWBhXWdFwEjUyzNpOFSF0/N89LJZ2NlpxOHRNMJpnadqQ+Sa+zDNd0qX/haZS0nKBJM9x6KgkCZNIN3GxugaQHYxaC7NzYtNT3D7zmu5fec13LHrRzzT+DA7YtvoYxuAX8vD0Un8b6h9FLmmfGbnns+K4GJO9M/qsu/jvCcT1SMMtY/i1JzvcZzvZCpinyGRLA8tor99CEuC7xPVI+2GAgxl2hebniQmY1RENtHW9g7bG59AkgJVYC+3oFiyt6YDjf2aZ/FNciDnWeyNfe1ncyBFVVOM4hwL0YSOxaRw3d92dnHVWM2C336/jMY2IyQ1kdR5+9MA764KcMWJ+XxWGWXWkX621cSwmVUK/SY+2RzC69CobEzwwoctTB3lJpGUbK2OccRgJ4oQLNscYngvO5OHuQCJ06ay8NMAKz8z5EfOPNpPKJKmvjVFczDJlqo4n2zueDo1qYI/XlVGMiV5bWkrLaEUU0a4iSV0HphrZFj3LDDyMWoakyAglZa8uqSVCYOdjO7nIBhJEYzopCUs3RjktGP8mFSJPR1hY8JEoTCjCrBZBB7bV3tarY0nuO6zXfyhXxm3bNtNvJMe+dXF+fjMGhJ4sb6ZjZEO8cLLi/NYGggzO9/Mjtgqhjgmc/1nu7tsWwV+07cUq1SMPI5NcUIbotiOdPJyqo3FkTC/6F3C8/XNrAxGKDRr3NLTQ1Q2syTwPkXmEoY7xlIR2Yxdc6IqGp8EPsKsWBjrmsg7LW8wM/cs7tl1MzEZ5RjPCeSaCrpERAkEPy65gweq72WUYxwn55xNmhQSiS7TPFJ7P34tl+P9M1FRMQkzO2JbyTcXURXfycbIWgrMRVQmduJQnNgUOx8G3maa9xTqkzXUJ+o4I+8C7q/+VZdjzzMVcnXRzcxreZkxioWqtgWM9fyKur9Z6HVFPtbC7kEHWb4dDvg8iyzfHH63hhAW0jrkuTXawno3n348KdF1yQOv1HHNqQXc+aThmhGA16Vx/DgvjYEUeR4z1U2JzBO7k201cdZUGDpDG3ZGuerkfI4c7uL1pa3ouuT8qbnk+TT++p86Ljgul/fXtLJ4Y4j+JVYCkTQfrgkyZZQbXRo1v+dmaobvIZmWtIXTWEwwc4KXLbtjrNkWYVBPW3v28+DeNhImiZ4rcaOxdHWILZUxclwqbrvCSx+1EoikCUTS/PicQu6rqcWuKFxXWsCGxW08tL6BfK+Jc4/JQeYIvI4v/7N3qiozc718EgjxvYIcHqvpiC6LIhlrNdOU0rsYCoBXG1u5rDgPt5rGrEiQUYY7bKwJd2g2TfC6sCQUXAnB+lt2kwoaJ0280ca5vy5ldl8/obTO0V4XJ+f6cKigiQiRVIgp3uksDrzPL3b9mDt73s/q8CfMa36RHxXfzryWl/lz1a+IyxgFpkJuLfsNcT2OVbEipaTZ28BHbQuxqw5O9J/BpshaLi64hh6Wcp5vfJzV4U8wCws3lt5FVWInVYmdrI2swKG4EMBPe9xDU7KeZ/cYnUwe5xm5F7IytBS36mWkcxx/qPoFukyTayrAoXQt2zrOOYmoHmGIbRj2VCNHlP4WLean99VmLDlZ99OBSNZYHCL4XMYFlkrrKIqhTLumkx7U4YOcxJOS288r7lJHe9pYD7vq4myvMar0LVhp1OxWFbj57GKCkTS9iyxsqYqhKEZC4J1P7GqPRFqzPcpdF5Zw9UyjtrjXqXHFifms3hZhVF8L5QUW7nmmGlURXHt6AX2Kre0JeHv243Go6BK2VceobUly8gQfipDce1kPqpriJAvgpzt2IzGM2yVD8vjtkFKsJpXttXGjAFQ4DSbYbUlQ2WJEV20IxTh2tAuHTeH595v5zbPV/PKiUpwWBU37cm4OS0xyeiYhLOaA4f3s7IolKLOasSsKZlUlkeweGJGSEpemsiIQY6z7KKMeeImDxS1BNkVjjHTYGavZiL7ehiwwtxsKAJmGhrmtJM5y8XBLI1eW5nNHRRXXlhbQlHqX9wLzutS52BBexTD7aOY2Pcv6yCrC6SBxGaPIXMpgx0j+WftndsS3Um7pywUFV+FWvFxbchspmWRh6zym+07FJMx8EFjAqrAhERKXMRqSteRoeTSljHyjsB7Er+USSLVSYC7hWM9JvNs2Dx2d8a4jjQlzzU8PSzkvNT6NVbFxuOtIzJj5cckdzG2eQ1OygdHOIxjvmsziwHtMdh+LU3MbxYuyQU8HNFljcYihqQpmTefKk/J459MAmytjDC23c+QwF02BBE6biSOHG6KAJs0oX3rzo7u547wSfvZ4h7hgWod/zW/kwmm5lOSa2Vkf57IZeXywJtitMtw7qwL0K7EwsrcDt13h3jkdkc59iy1cNiOPWFISjetcNC2X3z1fQ1VjEptZcNkJ+Xy6NcxzHzQzeaiboeU2bnl0N7+8qJSNuyKMHOLg1h0dEusSeKahkbt79uBH9+9kjxf1xPEe8oeaeKGxuX3fu2NxRCtICceN8TB/RRstoTROq4LXtXdjEW9K0rAwQO28VoQiKJrpJWeii6IcZ5f1XKpKmdXMrlhHCPBJuV4UCSFdcktFJZM8To7xuZnudHGM5iTwfpCWXc30vDCP5iXdc2WQRr+rE0m2RGLc17cMnTTb2pq7GApj/26sws7NpXezLPQxs3LPZ27TsxzmmsDTDQ+1F1XaEd/KQzX3caL/DB6ve4BTcs7Gp/moTVShCpVt0U1dtrug9VUuKbyWR2vvpznViE/L4aKCq0GCJk0c4z2BiZ6ppGTSSNQTNvpYB9KSaOS0nHMRQCAVIE0ap+LO6FOpmIWZUDrIJPdU3CbvXs9DlgODrLE4BHE7NJqDSY4f62bKSDfxhM41f92BqgruPL+YUX1tHDHIadz0pTEHkEh1n7tqCaXwuzR++XQVV52YhxACv7t7JJHLprKmIsqwXo5ubqat1XFsFoW/v1pLSyjFKUd4uWF2EW3hNEKArktcNpWyPAtvLGvFbVcYUGpl0foQU0e5CetpIp+TCI/qklAsTefptjeWtvHLUaVd1hvrcrJ4Q5AFK40J8fkr2sh1a1jNX25UEdkep/qlPSHEkspnmnH2sXZzk3hUhZ/2LOKDliCV8QQTvS6KzSZ+VlFJKK0z0mnnhBwvJiHQpcCSlugRSe5kF8EtUZz9rGgupcMNpULhKT7+FDZcXg2JJA5VISUF032n8ml4aXtUUrG5Bz2tfbFrdtS0xiT38QgpOSvvYpIy0W4o9lCbrMateahP1hBMtTLaeQRbIhuwKjbKrX3ZGuswGNtjn6FIlfPyr8Cn5aCgsDm8nuGuMTg0B+Agmo4gECT0OFbFztbYRv5a8+su+5zmPYUZ3lno6FTENhNKBxnuGINb836p85DlwCBrLA5R/C4Tui4RsTRSKkiMeYslm8KM7udg0foA4wc4SOkwoNRKIqWT69ZoDHS4VCYMdqIq0DPfTGskjc2aZlRfB28sbW2vj+11qowf5OTuZ6o4F/iieIlwTCcYTZPWDTkSRRHsqk8gJZw9xU84qnP+cTnc8mgln26NMH6gk6IcE6m0Ec1zUV4upaqZiK7zbiRAWNeprOuaeSwBkxQUmU2YhGCm14ddV3h3VYBkSiIEzDzCi00VWC17r3+gp3ValoW7tbcsD+MeYu/SZlJVclSVqT4XUV2yKxZnYVMrN/csxq2pqMIocOTWNDBDPJIkuCmKZ5ZG2xsxal9N0v+nxbQsD6PHdHKOdFHrSLG21pjfONrrxmMyLtW0zOH2st+zPbYFm2Kn2FzWrpsU1RVu2dZASyrNL3s7iMkaPKqPtnRHzoxb9ZCWRsjxc42Pc37+VUTTYfraBtBT9GZ3fAebo+vQ0JjuPw2baieVNkYOZsXCWM/ELhnVNtX4LqyqjXg6TmV8Z7fvrCqxC12k8Wo+RpsO3+t3n+XAJGssDmEUReC0aySCSW6YXcSTbzcyb1kbU0a4MWuCNz5pY01FhB/PKmLT7gjXzy7k1SWtVDUmGNXHztBedlJpyZCeNkpyTLjtGuFYmlu/V8z22jjRuKQ4x8Qj8xo4ZqSbtlCKaWM9/KuTEm1ZvlFTI57ssCLrtkc5fJCTAT2s3P1MNcFImpkTfFw0LZf6liTDe9t4+eMWNuyK8pMziqhcleDp1U047QrnHpdLv1ILC5Z2FTEs8ptwmhVuLi0inYZQW5r7XqwhmpD0L7Xid6pMH+HG7fhyhXIUVcHR10rjB11Lmzr7/nfH+rutIf5d1+HKe7U5wFiXgx+U5GPvVKBHdSgU/8TJ481/5eyxl1P/QpyNv6jCM9yOYhYkwmleNwXpY7MwO9dPvqljJKMKFa/mY5Szu2q/BJIZa10Zh4bkWs7Ou5Qn6v9GVI9gVWxcXHAtuVo+5+VfQSQdoq91ID0tvVkRWswQ+0imeU9hdu4FWBUriXQCh+LAqti+lJCfKlSGOEbyn+ZnurSPcR7RblSyHLxkQ2e/A+6//34efvhhpJR8//vf57rrruvy/nfRz9ZQkmhCogiobkqSSkvmLWtjw64oFpNg9pE+BpfZqGlOEo3rbK6M0RZKc8FxuTw2v5GBPawcNcxJWgqaAinyvRrNgRSfboswpKeNfJ+J2x/bzemTcijJM7FofYjiHBMTh7i444kqmjqNWE4Y5+G4MW7+9FIdOzuNEG49p5geeSa21cSpb0nRGEhisyi8+GHHk7EAfnVxKW6HyjufBvh0W4QeeWamjfGgKWC3KSBhwYoA63ZGGVBi5ZTDvQQ/DOL0m8id6OLLkmhOUfG3OgLrjCd871gH5ZfkYvZ/cbROdSzBDVs7ap0D3FhWyFi3s9u6zfFGfrb7ambYZjG65kian4ujJySFJ3nwjnAQdUI6qOMQAmvelwsjTeo6cxtbeL6+BY+mcmOZi4bkeoosJZiECbviwIzZkMWVkorYFiyqDbNiwaE4UIWKRdgMt5KMYxU2VEXDrHz5MNaWZDPbYpt4tflZonqUI93HMckzFa+WLVZ0oJINnf0aBD7aRvOcFaSawmg5Dvxnj8E9qc8+bXPdunU8/PDDLFu2DLPZzPTp0znppJPo27fvN9TrL4fXacKLUQvDbU/jsqkcPsjBhl1R4knJ0wubOW2ij/GDnCxaH2RYLzt9ii3YzYKrT8ln3vI2IjEdk1mhJEcjpUNRjoke+T5A541lAYaU2/E6VdpCaRRhRDlF4jqHD3LwxrI2pIRehRZOGOflsbcacFhUbphdiMOq0tiWxOtUWbIxzPwVbbhsKpfMyOWf87oKIUoMafOilIm6liRHDnPR0Jrk3jnVDCi1cuJ4L2u2hTm+yMGEtAb1SbZfvwsZlxT+4avJ2Jv9Gr2uykemjDgsofFfDQWAW1W5rbyYOXVNxHTJjBwPfW1fPBJRVRW36mVe9EW2Fm1k8nXTsAobNo8PYiAr4lQ/1kz/W4q+dH9NisKxfjelFhOL2sJsCOkc7R+PJlLYFLsRcQToUqc12YTPlENMjyIwsqq9po4buoPuBu7L4DP5GcQwehX3A4zCSw7t620ry4FF1lhkCHy0jYaHPkYmDH9uqjFMw0MfA+yTwdi4cSPjx4/HbjeG4UcddRQvvfQSN9100753+mvgsKr0KbYRT+qMzcxZLMjcnEf0seO0CqaO8pBI6qiKQFMUVBVOHOehvjWJqhuaT6oiWF0R5Yn5jZTlm7h+diHRhOT595vZsDPKEYNd9Cq0UtuUYMZhXo4f6yWZkjS2JWkNp5g4xIXVrPDovAaagimOGelCl/CvBYZxqCHJ2ysC9MqE7XamLN9MfYtR53tRp3rdmiYo8JroXWzDlKuhrIvQsjiENd9Ej/NyEZauMiZfhq8S8+80qQw12bnebELHqG+h/peMcafq5uL8q/lH7e/4LLqBHWIrl+X9GFPKDCZJ5LMEA24txuz/apeoRzMx3mNipNOBJkBVvkDaRCj4zXk4dTdJmcKu2PlcTZl9wmFy4eDLj+CyHBxkjUWG5jkr2g3FHmQiTfOcFftkLIYOHcptt91GU1MTNpuNN9544xvVhvq6WEwKFpPC8WM9jB/oQFWM0Uda1wnHdBxWFaet+88jmTK8GM++39Quj76tJsHz77Uwa6JRVvXUiT7WVESobEiwbkeEP7xkyJj3Kbbw/Rn57KyLM6CHldseM6rpAeR5Tby3OtBlXx+tD3LPJT3YuCvKrvoEAph+mIeKmjiluWbyPBoNbYZ7S1Vg5kQfTaEUC1a2sdSucMH0XAqP8YAuUR0KJud383P3m02kWqOk2oIE19dg6ZOLKd+J5usoCaoKld62AdzZ809E08Z8giVpI7lbx5qvUXiCB9X85eZXvog9RZ/+F2bFgpnuqsVZsnwRWWORIdXUPfLlf7V/WQYNGsRPf/pTpk2bhsPhYOTIkahf4kL+rlAVQY670wSqouC2f/HTsNdprJfWJd+bkkv/EhurKiIMKbAwOt9KaHGIqjyF55a24LSpnDc1l3dXd0wQb6uOs2h9kCOGOGmLpNsNBUBbKE2ex8Sm3R2jiFhCEonpXH5CPrqUeBwq63dEefTNBgp8Jq49tZCd9XHawinGDHbgsqns2B3j+0flYHWrOBwq2uc12r8D0vEU4U920vDo4vY29/RB+E8bgeaxtbeZFBMexYdHywgEmiBTiTRLlgOOrFpXBi3niwvB/7f2r8Kll17KihUr+OCDD/D5fPTv33+ft7k/URWBz6Uxua+ds6wWei+KsesX1TQ81UzRh1HuOrOEW88ppqqxe2GdnfWG6KHfpWHrJBb38fogM8Z58HSKVhrZx47VrLTngJg0gaYKehVayPeaiCV1moMpInGJVVWIBtP00DR8Dg2P27RfDAWAHorTNGdFl7bAW5u6jVyzZDmYyI4sMvjPHtNlzgJAmFX8Z4/Z523X19eTn5/Prl27eOmll1iyZMk+b/NAQNMUkjsTBFZ1yHe0LQ9Tdk4OCWBIua3bZ8YMgJD+Ko7kcVx9Sj7/eL2eYETHblVxWAT3XFJKY1sKi1mhNZjiL/+pYUi5gyOHuVi4so0RfR0cMdhFLKHz6LwGaluSTB7mxK4JLKgoNoHJvf9/1nrscxIgUiI/l1yYJcvBxP6/qg4Q9sxLfNPRUACzZs2iqakJk8nEAw88gNfr3edtHghoDpXSs3IIV8SJVSdBgeJTfahOBY9TQ5eSq07O55l3mojGdaaOtjOovI2NzS/iMn9Cj7zL+PUlPUlm7LPFJBACctwqmiIIxwTnTMnFYha47Qpj+juxWRQ+q4q2F3vyOlVmT/JjkwKT98D4OQuLhuvIPgQzhY8ArAPyEaYDx/2YJctXJZtncQBwsPTzvxFvSqInJIpJoFhFl4nkaNyYmxBCEkh+xLbWx9A71WOe0OMPyHQBUhpZ1vGEjo4glZZIdJACr1PFYdVI65J4Ik04LkkkdaJxic+p4lQEFteBYSj2kGqJEFxUQWRVFdY+uXimDULzZxPTshx4ZPMssnxn/K/wUptFxWZRkVLHmhzAzoCdRKZyW5lnOqpiwdZJfiMlU7z3aRuL1oXI85g4c6ofmXlbVQR2q4b9IFAn1Xx2PNMH45rUB8VuQjFlL7UsBzfZX3CW7wQhFDThYXzp3STTATTFjhAmbKacLuv5HBonHO7lqBFuVFVgtwisB1D02FdBURUUT/d5myxZDkYOeWNhuDe+uYSjb5pDxQ34ZbCYnIATmyn3f65n11TsroPTQGTJcqhySIfOWq1WmpqaDtgbspSSpqYmrNaDwK+SJUuW/9cc0iOL0tJSKisraWho2N9d+a9YrVZKS0v3vmKWLFmy7EcOaWNhMpno1avX/u5GlixZshz0HNJuqCxZsmTJ8s2QNRZZsmTJkmWvZI1FlixZsmTZK4dMBrcQogHoXgD40CAXaNzrWgcvh/LxHcrHBof28f1/ObaeUsq8vX3gkDEWhzJCiOVfJh3/YOVQPr5D+djg0D6+7LF1JeuGypIlS5YseyVrLLJkyZIly17JGouDg4f2dwe+ZQ7l4zuUjw0O7ePLHlsnsnMWWbJkyZJlr2RHFlmyZMmSZa9kjUWWLFmyZNkrWWNxECCEuEEIIYUQuZm/hRDiz0KIrUKINUKI0fu7j18VIf6D/aQAAAiLSURBVMTvhBCbMv1/WQjh7fTeLZlj2yyEOH4/dnOfEEJMzxzDViHEzfu7P/uCEKKHEOJdIcQGIcR6IcSPMu1+IcQCIcRnmf99+7uvXxchhCqE+FQI8Vrm715CiKWZ8/esEMK8v/v4dRFCeIUQL2SuuY1CiCO+6rnLGosDHCFED2AasKtT8wygX+Z1OfD3/dC1fWUBMFRKORzYAtwCIIQYDJwNDAGmA38TQhx0xS0yfX4A41wNBs7JHNvBSgq4QUo5GDgc+GHmeG4GFkop+wELM38frPwI2Njp798Af5RS9gVagEv3S6++Ge4H3pRSDgRGYBznVzp3WWNx4PNH4CagcyTCTOAJabAE8AohivZL774mUsr5UspU5s8lwB6d9pnAHCllXEq5HdgKjNsffdxHxgFbpZQVUsoEMAfj2A5KpJQ1UsqVmeUgxs2mBOOY/pVZ7V/Aqfulg/uIEKIUOBF4JPO3AI4BXsiscjAfmwc4EngUQEqZkFK28hXPXdZYHMAIIWYCVVLK1Z97qwTY3envykzbwcolwLzM8qFybIfKcXRDCFEOjAKWAgVSyprMW7VAwf7q1z7yJ4yHMj3zdw7Q2umB5mA+f72ABuCxjJvtESGEg6947g7pehYHA0KIt4HCL3jrNuBWDBfUQcn/OjYp5SuZdW7DcHE8/V32LcvXQwjhBF4ErpNSBjqXLJZSSiHEQReLL4Q4CaiXUq4QQhy9n7vzbaABo4FrpJRLhRD38zmX05c5d1ljsZ+RUh77Re1CiGEYTwSrMxdkKbBSCDEOqAJ6dFq9NNN2QPHfjm0PQoiLgJOAqbIj4eegOLYvwaFyHO0IIUwYhuJpKeVLmeY6IUSRlLIm4wqt3389/NpMBE4RQpwAWAE3ho/fK4TQMqOLg/n8VQKVUsqlmb9fwDAWX+ncZd1QByhSyrVSynwpZbmUshzjhI+WUtYCc4ELMlFRhwNtnYaTBwVCiOkYw/5TpJSRTm/NBc4WQliEEL0wJvGX7Y8+7iOfAP0yETVmjEn7ufu5T1+bjA//UWCjlPIPnd6aC1yYWb4QeOW77tu+IqW8RUpZmrnOzgbekVKeC7wLzM6sdlAeG0DmnrFbCDEg0zQV2MBXPHfZkcXByRvACRiTvxHg4v3bna/FXwELsCAzcloipbxSSrleCPEcxo85BfxQSpnej/38WkgpU0KIq4G3ABX4p5Ry/X7u1r4wETgfWCuEWJVpuxW4F3hOCHEpRomAM/dP974VfgrMEUL8CviUzATxQco1wNOZB5cKjHuGwlc4d1m5jyxZsmTJsleybqgsWbJkybJXssYiS5YsWbLslayxyJIlS5YseyVrLLJkyZIly17JGossWbJkybJXssYiS5YsWbLslayxyHLAkJFR/kFmWcnIsK8TQqwVQnySSdJDCLFDCPFip8/NFkI8nlm+SAjRIIRY1en1X9VeM1Lp6zP/XymEuOAr9HdkJuv3/w1CiHIhxPf2dz+yfPdkk/KyHEh4gR8AfwPOAoqB4VJKPaMKGu607hghxGAp5YYv2M6zUsqrv+Q+Lwf8/yvxr5Pkw+cZCYzFSJL8/0I58D3gmf3cjyzfMdmRRZYDiXuBPpkM4SeAGimlDiClrJRStnRa9z4MscWvjRBiLuAEVgghzhJC3CmEuDHz3ntCiD8JIZYDPxJCnJEZ5awWQnyQyYS9CzgrM3o567/swymEeCwzOlojhJiVaT8n07ZOCPGbTuuHOo123hZCjMv0pUIIcUpmnYuEEK9k2j8TQtzR6fPXZ7a5TghxXaatXBgFbx7ObHe+EMKWea+PEOJNIcQKIcSHQoiBmfbHMyO7RZl975G9uBeYnDnmH+/L95/lIENKmX1lXwfEC+OpdV1muRTYAazCMAyjOq23A0NOeSPQF0O/5/HMexdhyDGv6vSy/Y99hjot3wncmFl+D/hbp/fWAiWZZW+nff11L8f0G+BPnf72YYyYdgF5GKP7d4BTM+9LYEZm+WVgPmDCKFizqtN+azBktG3AOowRzphMPx0YRnA9hpR4OYZ0ysjM558DzsssLwT6ZZbHY+giATwOPI/xQDkYozYHwNHAa/v7t5J9ffev7MgiywGJlLISGIBRQU8HFgohpnZaJQ38LvP+53lWSjmy0yv6NbvxbKflj4HHhRDfx9B6+rIci1ExDwBpjI4OA96TUjZIw731NEZxGoAE8GZmeS3wvpQymVku77TdBVLKpsyxvQRMyrxellKGpZShTPvkzPrbpZSrMssrgHJhyI1PAJ7PjOYeBDoX0fqPlFKXhqvvYK1TkeUbIjtnkeWARUoZxyiKNE8IUYdRyWthp1WexDAW676lLrTPkUgprxRCjMeoprZCCDHmW9pnUkq5R7BNB+KZ/etCiM7X6+dF3fYm8hbvtJzGGJEoGAV+Rn6Jz4j/sk6W/ydkRxZZDiSCgAtACDFaCFGcWVaA4RjKmO1knrj/CHzrvnMhRB8p5VIp5c8x3Fw9Ovf3f7AA+GGn7fgwJNePEkLkCqNW9znA+1+xS8cJIfyZuYdTMUY+HwKnCiHswqiEdlqm7QuRUgaA7UKIMzJ9E0KIEXvZ75c55iyHIFljkeWAQUrZBHwshFiH4RJ5NbO8BsPn/tcv+NijdB8h75l03vOa8A1073d7JqSBRcBqjHoHg//XBDfwK8C3Z3IcmCKN2iM3Zz6/GlghM5UDvwLLMAoRrQFelFIul0aN7Mcz7y0FHpFSfrqX7ZwLXJrp23r2Xid8DZDOTPRnJ7j/H5GVKM+S5SBDGBUGx8ovHx6cJcs+kx1ZZMmSJUuWvZIdWWQ55BFGPfMnP9ccl1KO/wb3cTHwo881fyyl/OEXrZ8ly8FG1lhkyZIlS5a9knVDZcmSJUuWvZI1FlmyZMmSZa9kjUWWLFmyZNkrWWORJUuWLFn2yv8BtDvYkatfNa8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(x=\"tSNE_first_component\", y=\"tSNE_second_component\", hue=mnist_df.digit_label.tolist(),\n",
    "                palette=sns.color_palette(\"hls\", 10),\n",
    "                data=mnist_df).set(title=\"MNIST data T-SNE projection\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
